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Finding the Third Proportional to 80,475 and 124,412

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Solution

The third proportional to 80,475 and 124,412 is: 192,337.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,475 : 124,412 = 124,412 : x
  2. Step 2: Convert to fraction form
    80,475/124,412 = 124,412/x
  3. Step 3: Cross multiply
    80,475x = 124,412 × 124,412
  4. Step 4: Simplify right side
    80,475x = 15,478,345,744
  5. Step 5: Solve for x
    x = 15,478,345,744/80,475
  6. Step 6: Final answer
    x = 192,337.32

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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.