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Finding the Third Proportional to 121,524 and 162,595

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Solution

The third proportional to 121,524 and 162,595 is: 217,546.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,524 : 162,595 = 162,595 : x
  2. Step 2: Convert to fraction form
    121,524/162,595 = 162,595/x
  3. Step 3: Cross multiply
    121,524x = 162,595 × 162,595
  4. Step 4: Simplify right side
    121,524x = 26,437,134,025
  5. Step 5: Solve for x
    x = 26,437,134,025/121,524
  6. Step 6: Final answer
    x = 217,546.61

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.