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Finding the Third Proportional to 62,643 and 97,060.50

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Solution

The third proportional to 62,643 and 97,060.50 is: 150,387.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,643 : 97,060.50 = 97,060.50 : x
  2. Step 2: Convert to fraction form
    62,643/97,060.50 = 97,060.50/x
  3. Step 3: Cross multiply
    62,643x = 97,060.50 × 97,060.50
  4. Step 4: Simplify right side
    62,643x = 9,420,740,660.25
  5. Step 5: Solve for x
    x = 9,420,740,660.25/62,643
  6. Step 6: Final answer
    x = 150,387.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.