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Finding the Third Proportional to 90,232.50 and 126,146.50

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Solution

The third proportional to 90,232.50 and 126,146.50 is: 176,354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,232.50 : 126,146.50 = 126,146.50 : x
  2. Step 2: Convert to fraction form
    90,232.50/126,146.50 = 126,146.50/x
  3. Step 3: Cross multiply
    90,232.50x = 126,146.50 × 126,146.50
  4. Step 4: Simplify right side
    90,232.50x = 15,912,939,462.25
  5. Step 5: Solve for x
    x = 15,912,939,462.25/90,232.50
  6. Step 6: Final answer
    x = 176,354.86

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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.