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Finding the Third Proportional to 90,162 and 141,432

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Solution

The third proportional to 90,162 and 141,432 is: 221,856.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,162 : 141,432 = 141,432 : x
  2. Step 2: Convert to fraction form
    90,162/141,432 = 141,432/x
  3. Step 3: Cross multiply
    90,162x = 141,432 × 141,432
  4. Step 4: Simplify right side
    90,162x = 20,003,010,624
  5. Step 5: Solve for x
    x = 20,003,010,624/90,162
  6. Step 6: Final answer
    x = 221,856.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.