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Finding the Third Proportional to 122,523 and 185,632

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Solution

The third proportional to 122,523 and 185,632 is: 281,247.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,523 : 185,632 = 185,632 : x
  2. Step 2: Convert to fraction form
    122,523/185,632 = 185,632/x
  3. Step 3: Cross multiply
    122,523x = 185,632 × 185,632
  4. Step 4: Simplify right side
    122,523x = 34,459,239,424
  5. Step 5: Solve for x
    x = 34,459,239,424/122,523
  6. Step 6: Final answer
    x = 281,247.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.