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Finding the Third Proportional to 56,665.13 and 83,431.13

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Solution

The third proportional to 56,665.13 and 83,431.13 is: 122,840.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,665.13 : 83,431.13 = 83,431.13 : x
  2. Step 2: Convert to fraction form
    56,665.13/83,431.13 = 83,431.13/x
  3. Step 3: Cross multiply
    56,665.13x = 83,431.13 × 83,431.13
  4. Step 4: Simplify right side
    56,665.13x = 6,960,752,618.77
  5. Step 5: Solve for x
    x = 6,960,752,618.77/56,665.13
  6. Step 6: Final answer
    x = 122,840.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.