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Finding the Third Proportional to 60,428 and 131,610

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Solution

The third proportional to 60,428 and 131,610 is: 286,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,428 : 131,610 = 131,610 : x
  2. Step 2: Convert to fraction form
    60,428/131,610 = 131,610/x
  3. Step 3: Cross multiply
    60,428x = 131,610 × 131,610
  4. Step 4: Simplify right side
    60,428x = 17,321,192,100
  5. Step 5: Solve for x
    x = 17,321,192,100/60,428
  6. Step 6: Final answer
    x = 286,641.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.