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Finding the Third Proportional to 60,327 and 132,470

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Solution

The third proportional to 60,327 and 132,470 is: 290,886.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,327 : 132,470 = 132,470 : x
  2. Step 2: Convert to fraction form
    60,327/132,470 = 132,470/x
  3. Step 3: Cross multiply
    60,327x = 132,470 × 132,470
  4. Step 4: Simplify right side
    60,327x = 17,548,300,900
  5. Step 5: Solve for x
    x = 17,548,300,900/60,327
  6. Step 6: Final answer
    x = 290,886.35

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.