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Finding the Third Proportional to 61,890 and 96,069

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Solution

The third proportional to 61,890 and 96,069 is: 149,123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,890 : 96,069 = 96,069 : x
  2. Step 2: Convert to fraction form
    61,890/96,069 = 96,069/x
  3. Step 3: Cross multiply
    61,890x = 96,069 × 96,069
  4. Step 4: Simplify right side
    61,890x = 9,229,252,761
  5. Step 5: Solve for x
    x = 9,229,252,761/61,890
  6. Step 6: Final answer
    x = 149,123.49

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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.