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Finding the Third Proportional to 61,389 and 90,069

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Solution

The third proportional to 61,389 and 90,069 is: 132,147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,389 : 90,069 = 90,069 : x
  2. Step 2: Convert to fraction form
    61,389/90,069 = 90,069/x
  3. Step 3: Cross multiply
    61,389x = 90,069 × 90,069
  4. Step 4: Simplify right side
    61,389x = 8,112,424,761
  5. Step 5: Solve for x
    x = 8,112,424,761/61,389
  6. Step 6: Final answer
    x = 132,147.86

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.