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Finding the Third Proportional to 61,790 and 93,870

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Solution

The third proportional to 61,790 and 93,870 is: 142,605.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,790 : 93,870 = 93,870 : x
  2. Step 2: Convert to fraction form
    61,790/93,870 = 93,870/x
  3. Step 3: Cross multiply
    61,790x = 93,870 × 93,870
  4. Step 4: Simplify right side
    61,790x = 8,811,576,900
  5. Step 5: Solve for x
    x = 8,811,576,900/61,790
  6. Step 6: Final answer
    x = 142,605.23

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.