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Finding the Third Proportional to 61,488 and 129,456

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Solution

The third proportional to 61,488 and 129,456 is: 272,554.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,488 : 129,456 = 129,456 : x
  2. Step 2: Convert to fraction form
    61,488/129,456 = 129,456/x
  3. Step 3: Cross multiply
    61,488x = 129,456 × 129,456
  4. Step 4: Simplify right side
    61,488x = 16,758,855,936
  5. Step 5: Solve for x
    x = 16,758,855,936/61,488
  6. Step 6: Final answer
    x = 272,554.90

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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.