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Finding the Third Proportional to 60,871.88 and 133,419.25

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Solution

The third proportional to 60,871.88 and 133,419.25 is: 292,428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,871.88 : 133,419.25 = 133,419.25 : x
  2. Step 2: Convert to fraction form
    60,871.88/133,419.25 = 133,419.25/x
  3. Step 3: Cross multiply
    60,871.88x = 133,419.25 × 133,419.25
  4. Step 4: Simplify right side
    60,871.88x = 17,800,696,270.56
  5. Step 5: Solve for x
    x = 17,800,696,270.56/60,871.88
  6. Step 6: Final answer
    x = 292,428.91

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