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Finding the Third Proportional to 61,641 and 89,055

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Solution

The third proportional to 61,641 and 89,055 is: 128,661.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,641 : 89,055 = 89,055 : x
  2. Step 2: Convert to fraction form
    61,641/89,055 = 89,055/x
  3. Step 3: Cross multiply
    61,641x = 89,055 × 89,055
  4. Step 4: Simplify right side
    61,641x = 7,930,793,025
  5. Step 5: Solve for x
    x = 7,930,793,025/61,641
  6. Step 6: Final answer
    x = 128,661.01

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.