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Finding the Third Proportional to 61,372 and 90,114

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Solution

The third proportional to 61,372 and 90,114 is: 132,316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,372 : 90,114 = 90,114 : x
  2. Step 2: Convert to fraction form
    61,372/90,114 = 90,114/x
  3. Step 3: Cross multiply
    61,372x = 90,114 × 90,114
  4. Step 4: Simplify right side
    61,372x = 8,120,532,996
  5. Step 5: Solve for x
    x = 8,120,532,996/61,372
  6. Step 6: Final answer
    x = 132,316.58

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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.