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Finding the Third Proportional to 102,432 and 160,686

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Solution

The third proportional to 102,432 and 160,686 is: 252,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,432 : 160,686 = 160,686 : x
  2. Step 2: Convert to fraction form
    102,432/160,686 = 160,686/x
  3. Step 3: Cross multiply
    102,432x = 160,686 × 160,686
  4. Step 4: Simplify right side
    102,432x = 25,819,990,596
  5. Step 5: Solve for x
    x = 25,819,990,596/102,432
  6. Step 6: Final answer
    x = 252,069.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.