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Finding the Third Proportional to 61,234 and 129,816

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Solution

The third proportional to 61,234 and 129,816 is: 275,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,234 : 129,816 = 129,816 : x
  2. Step 2: Convert to fraction form
    61,234/129,816 = 129,816/x
  3. Step 3: Cross multiply
    61,234x = 129,816 × 129,816
  4. Step 4: Simplify right side
    61,234x = 16,852,193,856
  5. Step 5: Solve for x
    x = 16,852,193,856/61,234
  6. Step 6: Final answer
    x = 275,209.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.