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Finding the Third Proportional to 102,959 and 155,525

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Solution

The third proportional to 102,959 and 155,525 is: 234,928.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,959 : 155,525 = 155,525 : x
  2. Step 2: Convert to fraction form
    102,959/155,525 = 155,525/x
  3. Step 3: Cross multiply
    102,959x = 155,525 × 155,525
  4. Step 4: Simplify right side
    102,959x = 24,188,025,625
  5. Step 5: Solve for x
    x = 24,188,025,625/102,959
  6. Step 6: Final answer
    x = 234,928.72

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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.