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Finding the Third Proportional to 60,570 and 84,877

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Solution

The third proportional to 60,570 and 84,877 is: 118,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,570 : 84,877 = 84,877 : x
  2. Step 2: Convert to fraction form
    60,570/84,877 = 84,877/x
  3. Step 3: Cross multiply
    60,570x = 84,877 × 84,877
  4. Step 4: Simplify right side
    60,570x = 7,204,105,129
  5. Step 5: Solve for x
    x = 7,204,105,129/60,570
  6. Step 6: Final answer
    x = 118,938.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.