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Finding the Third Proportional to 61,543 and 132,502

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Solution

The third proportional to 61,543 and 132,502 is: 285,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,543 : 132,502 = 132,502 : x
  2. Step 2: Convert to fraction form
    61,543/132,502 = 132,502/x
  3. Step 3: Cross multiply
    61,543x = 132,502 × 132,502
  4. Step 4: Simplify right side
    61,543x = 17,556,780,004
  5. Step 5: Solve for x
    x = 17,556,780,004/61,543
  6. Step 6: Final answer
    x = 285,276.64

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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.