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Finding the Third Proportional to 61,881.47 and 135,596.53

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Solution

The third proportional to 61,881.47 and 135,596.53 is: 297,123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,881.47 : 135,596.53 = 135,596.53 : x
  2. Step 2: Convert to fraction form
    61,881.47/135,596.53 = 135,596.53/x
  3. Step 3: Cross multiply
    61,881.47x = 135,596.53 × 135,596.53
  4. Step 4: Simplify right side
    61,881.47x = 18,386,419,287.03
  5. Step 5: Solve for x
    x = 18,386,419,287.03/61,881.47
  6. Step 6: Final answer
    x = 297,123.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.