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Finding the Third Proportional to 61,354.13 and 128,266.88

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Solution

The third proportional to 61,354.13 and 128,266.88 is: 268,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,354.13 : 128,266.88 = 128,266.88 : x
  2. Step 2: Convert to fraction form
    61,354.13/128,266.88 = 128,266.88/x
  3. Step 3: Cross multiply
    61,354.13x = 128,266.88 × 128,266.88
  4. Step 4: Simplify right side
    61,354.13x = 16,452,391,222.27
  5. Step 5: Solve for x
    x = 16,452,391,222.27/61,354.13
  6. Step 6: Final answer
    x = 268,154.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.