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Finding the Third Proportional to 61,327.13 and 136,576.13

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Solution

The third proportional to 61,327.13 and 136,576.13 is: 304,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,327.13 : 136,576.13 = 136,576.13 : x
  2. Step 2: Convert to fraction form
    61,327.13/136,576.13 = 136,576.13/x
  3. Step 3: Cross multiply
    61,327.13x = 136,576.13 × 136,576.13
  4. Step 4: Simplify right side
    61,327.13x = 18,653,037,920.02
  5. Step 5: Solve for x
    x = 18,653,037,920.02/61,327.13
  6. Step 6: Final answer
    x = 304,156.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.