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Finding the Third Proportional to 61,651 and 132,657.75

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Solution

The third proportional to 61,651 and 132,657.75 is: 285,446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,651 : 132,657.75 = 132,657.75 : x
  2. Step 2: Convert to fraction form
    61,651/132,657.75 = 132,657.75/x
  3. Step 3: Cross multiply
    61,651x = 132,657.75 × 132,657.75
  4. Step 4: Simplify right side
    61,651x = 17,598,078,635.06
  5. Step 5: Solve for x
    x = 17,598,078,635.06/61,651
  6. Step 6: Final answer
    x = 285,446.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.