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Finding the Third Proportional to 90,368 and 135,552

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Solution

The third proportional to 90,368 and 135,552 is: 203,328

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,368 : 135,552 = 135,552 : x
  2. Step 2: Convert to fraction form
    90,368/135,552 = 135,552/x
  3. Step 3: Cross multiply
    90,368x = 135,552 × 135,552
  4. Step 4: Simplify right side
    90,368x = 18,374,344,704
  5. Step 5: Solve for x
    x = 18,374,344,704/90,368
  6. Step 6: Final answer
    x = 203,328

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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.