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Finding the Third Proportional to 90,432.28 and 133,034.91

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Solution

The third proportional to 90,432.28 and 133,034.91 is: 195,707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,432.28 : 133,034.91 = 133,034.91 : x
  2. Step 2: Convert to fraction form
    90,432.28/133,034.91 = 133,034.91/x
  3. Step 3: Cross multiply
    90,432.28x = 133,034.91 × 133,034.91
  4. Step 4: Simplify right side
    90,432.28x = 17,698,286,280.95
  5. Step 5: Solve for x
    x = 17,698,286,280.95/90,432.28
  6. Step 6: Final answer
    x = 195,707.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.