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Finding the Third Proportional to 89,703 and 138,805.88

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Solution

The third proportional to 89,703 and 138,805.88 is: 214,787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,703 : 138,805.88 = 138,805.88 : x
  2. Step 2: Convert to fraction form
    89,703/138,805.88 = 138,805.88/x
  3. Step 3: Cross multiply
    89,703x = 138,805.88 × 138,805.88
  4. Step 4: Simplify right side
    89,703x = 19,267,070,934.52
  5. Step 5: Solve for x
    x = 19,267,070,934.52/89,703
  6. Step 6: Final answer
    x = 214,787.36

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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.