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Finding the Third Proportional to 75,697 and 108,624

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Solution

The third proportional to 75,697 and 108,624 is: 155,873.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,697 : 108,624 = 108,624 : x
  2. Step 2: Convert to fraction form
    75,697/108,624 = 108,624/x
  3. Step 3: Cross multiply
    75,697x = 108,624 × 108,624
  4. Step 4: Simplify right side
    75,697x = 11,799,173,376
  5. Step 5: Solve for x
    x = 11,799,173,376/75,697
  6. Step 6: Final answer
    x = 155,873.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.