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Finding the Third Proportional to 103,624 and 155,436

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Solution

The third proportional to 103,624 and 155,436 is: 233,154

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,624 : 155,436 = 155,436 : x
  2. Step 2: Convert to fraction form
    103,624/155,436 = 155,436/x
  3. Step 3: Cross multiply
    103,624x = 155,436 × 155,436
  4. Step 4: Simplify right side
    103,624x = 24,160,350,096
  5. Step 5: Solve for x
    x = 24,160,350,096/103,624
  6. Step 6: Final answer
    x = 233,154

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.