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Finding the Third Proportional to 90,432 and 137,752

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Solution

The third proportional to 90,432 and 137,752 is: 209,832.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,432 : 137,752 = 137,752 : x
  2. Step 2: Convert to fraction form
    90,432/137,752 = 137,752/x
  3. Step 3: Cross multiply
    90,432x = 137,752 × 137,752
  4. Step 4: Simplify right side
    90,432x = 18,975,613,504
  5. Step 5: Solve for x
    x = 18,975,613,504/90,432
  6. Step 6: Final answer
    x = 209,832.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.