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Finding the Third Proportional to 61,574 and 132,565

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Solution

The third proportional to 61,574 and 132,565 is: 285,404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,574 : 132,565 = 132,565 : x
  2. Step 2: Convert to fraction form
    61,574/132,565 = 132,565/x
  3. Step 3: Cross multiply
    61,574x = 132,565 × 132,565
  4. Step 4: Simplify right side
    61,574x = 17,573,479,225
  5. Step 5: Solve for x
    x = 17,573,479,225/61,574
  6. Step 6: Final answer
    x = 285,404.22

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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.