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Finding the Third Proportional to 61,788 and 93,867

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Solution

The third proportional to 61,788 and 93,867 is: 142,600.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,788 : 93,867 = 93,867 : x
  2. Step 2: Convert to fraction form
    61,788/93,867 = 93,867/x
  3. Step 3: Cross multiply
    61,788x = 93,867 × 93,867
  4. Step 4: Simplify right side
    61,788x = 8,811,013,689
  5. Step 5: Solve for x
    x = 8,811,013,689/61,788
  6. Step 6: Final answer
    x = 142,600.73

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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.