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Finding the Third Proportional to 92,626 and 148,051

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Solution

The third proportional to 92,626 and 148,051 is: 236,640.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,626 : 148,051 = 148,051 : x
  2. Step 2: Convert to fraction form
    92,626/148,051 = 148,051/x
  3. Step 3: Cross multiply
    92,626x = 148,051 × 148,051
  4. Step 4: Simplify right side
    92,626x = 21,919,098,601
  5. Step 5: Solve for x
    x = 21,919,098,601/92,626
  6. Step 6: Final answer
    x = 236,640.88

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.