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Finding the Third Proportional to 61,182 and 129,276

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Solution

The third proportional to 61,182 and 129,276 is: 273,156.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,182 : 129,276 = 129,276 : x
  2. Step 2: Convert to fraction form
    61,182/129,276 = 129,276/x
  3. Step 3: Cross multiply
    61,182x = 129,276 × 129,276
  4. Step 4: Simplify right side
    61,182x = 16,712,284,176
  5. Step 5: Solve for x
    x = 16,712,284,176/61,182
  6. Step 6: Final answer
    x = 273,156.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.