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Finding the Third Proportional to 114,088 and 248,066

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Solution

The third proportional to 114,088 and 248,066 is: 539,379.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,088 : 248,066 = 248,066 : x
  2. Step 2: Convert to fraction form
    114,088/248,066 = 248,066/x
  3. Step 3: Cross multiply
    114,088x = 248,066 × 248,066
  4. Step 4: Simplify right side
    114,088x = 61,536,740,356
  5. Step 5: Solve for x
    x = 61,536,740,356/114,088
  6. Step 6: Final answer
    x = 539,379.60

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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.