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Finding the Third Proportional to 91,850 and 138,452

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Solution

The third proportional to 91,850 and 138,452 is: 208,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,850 : 138,452 = 138,452 : x
  2. Step 2: Convert to fraction form
    91,850/138,452 = 138,452/x
  3. Step 3: Cross multiply
    91,850x = 138,452 × 138,452
  4. Step 4: Simplify right side
    91,850x = 19,168,956,304
  5. Step 5: Solve for x
    x = 19,168,956,304/91,850
  6. Step 6: Final answer
    x = 208,698.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.