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Finding the Third Proportional to 61,539 and 132,508.50

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Solution

The third proportional to 61,539 and 132,508.50 is: 285,323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,539 : 132,508.50 = 132,508.50 : x
  2. Step 2: Convert to fraction form
    61,539/132,508.50 = 132,508.50/x
  3. Step 3: Cross multiply
    61,539x = 132,508.50 × 132,508.50
  4. Step 4: Simplify right side
    61,539x = 17,558,502,572.25
  5. Step 5: Solve for x
    x = 17,558,502,572.25/61,539
  6. Step 6: Final answer
    x = 285,323.17

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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.