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Finding the Third Proportional to 114,117.50 and 248,071.75

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Solution

The third proportional to 114,117.50 and 248,071.75 is: 539,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,117.50 : 248,071.75 = 248,071.75 : x
  2. Step 2: Convert to fraction form
    114,117.50/248,071.75 = 248,071.75/x
  3. Step 3: Cross multiply
    114,117.50x = 248,071.75 × 248,071.75
  4. Step 4: Simplify right side
    114,117.50x = 61,539,593,148.06
  5. Step 5: Solve for x
    x = 61,539,593,148.06/114,117.50
  6. Step 6: Final answer
    x = 539,265.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.