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Finding the Third Proportional to 100,624 and 155,160

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Solution

The third proportional to 100,624 and 155,160 is: 239,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,624 : 155,160 = 155,160 : x
  2. Step 2: Convert to fraction form
    100,624/155,160 = 155,160/x
  3. Step 3: Cross multiply
    100,624x = 155,160 × 155,160
  4. Step 4: Simplify right side
    100,624x = 24,074,625,600
  5. Step 5: Solve for x
    x = 24,074,625,600/100,624
  6. Step 6: Final answer
    x = 239,253.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.