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Finding the Third Proportional to 89,613 and 138,753

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Solution

The third proportional to 89,613 and 138,753 is: 214,839.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,613 : 138,753 = 138,753 : x
  2. Step 2: Convert to fraction form
    89,613/138,753 = 138,753/x
  3. Step 3: Cross multiply
    89,613x = 138,753 × 138,753
  4. Step 4: Simplify right side
    89,613x = 19,252,395,009
  5. Step 5: Solve for x
    x = 19,252,395,009/89,613
  6. Step 6: Final answer
    x = 214,839.31

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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.