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Finding the Third Proportional to 42,306.75 and 90,445.50

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Solution

The third proportional to 42,306.75 and 90,445.50 is: 193,358.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,306.75 : 90,445.50 = 90,445.50 : x
  2. Step 2: Convert to fraction form
    42,306.75/90,445.50 = 90,445.50/x
  3. Step 3: Cross multiply
    42,306.75x = 90,445.50 × 90,445.50
  4. Step 4: Simplify right side
    42,306.75x = 8,180,388,470.25
  5. Step 5: Solve for x
    x = 8,180,388,470.25/42,306.75
  6. Step 6: Final answer
    x = 193,358.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.