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Finding the Third Proportional to 76,346.25 and 118,882.25

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Solution

The third proportional to 76,346.25 and 118,882.25 is: 185,117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,346.25 : 118,882.25 = 118,882.25 : x
  2. Step 2: Convert to fraction form
    76,346.25/118,882.25 = 118,882.25/x
  3. Step 3: Cross multiply
    76,346.25x = 118,882.25 × 118,882.25
  4. Step 4: Simplify right side
    76,346.25x = 14,132,989,365.06
  5. Step 5: Solve for x
    x = 14,132,989,365.06/76,346.25
  6. Step 6: Final answer
    x = 185,117.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.