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Finding the Third Proportional to 61,026 and 88,739

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Solution

The third proportional to 61,026 and 88,739 is: 129,036.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,026 : 88,739 = 88,739 : x
  2. Step 2: Convert to fraction form
    61,026/88,739 = 88,739/x
  3. Step 3: Cross multiply
    61,026x = 88,739 × 88,739
  4. Step 4: Simplify right side
    61,026x = 7,874,610,121
  5. Step 5: Solve for x
    x = 7,874,610,121/61,026
  6. Step 6: Final answer
    x = 129,036.97

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.