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Finding the Third Proportional to 53,551.13 and 82,377

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Solution

The third proportional to 53,551.13 and 82,377 is: 126,719.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,551.13 : 82,377 = 82,377 : x
  2. Step 2: Convert to fraction form
    53,551.13/82,377 = 82,377/x
  3. Step 3: Cross multiply
    53,551.13x = 82,377 × 82,377
  4. Step 4: Simplify right side
    53,551.13x = 6,785,970,129
  5. Step 5: Solve for x
    x = 6,785,970,129/53,551.13
  6. Step 6: Final answer
    x = 126,719.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.