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Finding the Third Proportional to 102,532 and 156,738

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Solution

The third proportional to 102,532 and 156,738 is: 239,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,532 : 156,738 = 156,738 : x
  2. Step 2: Convert to fraction form
    102,532/156,738 = 156,738/x
  3. Step 3: Cross multiply
    102,532x = 156,738 × 156,738
  4. Step 4: Simplify right side
    102,532x = 24,566,800,644
  5. Step 5: Solve for x
    x = 24,566,800,644/102,532
  6. Step 6: Final answer
    x = 239,601.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.