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Finding the Third Proportional to 100,052 and 155,122

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Solution

The third proportional to 100,052 and 155,122 is: 240,503.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,052 : 155,122 = 155,122 : x
  2. Step 2: Convert to fraction form
    100,052/155,122 = 155,122/x
  3. Step 3: Cross multiply
    100,052x = 155,122 × 155,122
  4. Step 4: Simplify right side
    100,052x = 24,062,834,884
  5. Step 5: Solve for x
    x = 24,062,834,884/100,052
  6. Step 6: Final answer
    x = 240,503.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.