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Finding the Third Proportional to 102,624 and 160,416

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Solution

The third proportional to 102,624 and 160,416 is: 250,753.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,624 : 160,416 = 160,416 : x
  2. Step 2: Convert to fraction form
    102,624/160,416 = 160,416/x
  3. Step 3: Cross multiply
    102,624x = 160,416 × 160,416
  4. Step 4: Simplify right side
    102,624x = 25,733,293,056
  5. Step 5: Solve for x
    x = 25,733,293,056/102,624
  6. Step 6: Final answer
    x = 250,753.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.