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Finding the Third Proportional to 54,358.88 and 86,479.31

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Solution

The third proportional to 54,358.88 and 86,479.31 is: 137,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,358.88 : 86,479.31 = 86,479.31 : x
  2. Step 2: Convert to fraction form
    54,358.88/86,479.31 = 86,479.31/x
  3. Step 3: Cross multiply
    54,358.88x = 86,479.31 × 86,479.31
  4. Step 4: Simplify right side
    54,358.88x = 7,478,671,490.47
  5. Step 5: Solve for x
    x = 7,478,671,490.47/54,358.88
  6. Step 6: Final answer
    x = 137,579.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.