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Finding the Third Proportional to 89,934 and 138,396

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Solution

The third proportional to 89,934 and 138,396 is: 212,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,934 : 138,396 = 138,396 : x
  2. Step 2: Convert to fraction form
    89,934/138,396 = 138,396/x
  3. Step 3: Cross multiply
    89,934x = 138,396 × 138,396
  4. Step 4: Simplify right side
    89,934x = 19,153,452,816
  5. Step 5: Solve for x
    x = 19,153,452,816/89,934
  6. Step 6: Final answer
    x = 212,972.32

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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.