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Finding the Third Proportional to 102,830 and 155,540

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Solution

The third proportional to 102,830 and 155,540 is: 235,268.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,830 : 155,540 = 155,540 : x
  2. Step 2: Convert to fraction form
    102,830/155,540 = 155,540/x
  3. Step 3: Cross multiply
    102,830x = 155,540 × 155,540
  4. Step 4: Simplify right side
    102,830x = 24,192,691,600
  5. Step 5: Solve for x
    x = 24,192,691,600/102,830
  6. Step 6: Final answer
    x = 235,268.81

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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.