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Finding the Third Proportional to 89,282.25 and 138,358.13

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Solution

The third proportional to 89,282.25 and 138,358.13 is: 214,409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,282.25 : 138,358.13 = 138,358.13 : x
  2. Step 2: Convert to fraction form
    89,282.25/138,358.13 = 138,358.13/x
  3. Step 3: Cross multiply
    89,282.25x = 138,358.13 × 138,358.13
  4. Step 4: Simplify right side
    89,282.25x = 19,142,970,753.52
  5. Step 5: Solve for x
    x = 19,142,970,753.52/89,282.25
  6. Step 6: Final answer
    x = 214,409.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.