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Finding the Third Proportional to 90,232 and 126,146

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Solution

The third proportional to 90,232 and 126,146 is: 176,354.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,232 : 126,146 = 126,146 : x
  2. Step 2: Convert to fraction form
    90,232/126,146 = 126,146/x
  3. Step 3: Cross multiply
    90,232x = 126,146 × 126,146
  4. Step 4: Simplify right side
    90,232x = 15,912,813,316
  5. Step 5: Solve for x
    x = 15,912,813,316/90,232
  6. Step 6: Final answer
    x = 176,354.43

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.