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Finding the Third Proportional to 45,311.91 and 83,140.17

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Solution

The third proportional to 45,311.91 and 83,140.17 is: 152,549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,311.91 : 83,140.17 = 83,140.17 : x
  2. Step 2: Convert to fraction form
    45,311.91/83,140.17 = 83,140.17/x
  3. Step 3: Cross multiply
    45,311.91x = 83,140.17 × 83,140.17
  4. Step 4: Simplify right side
    45,311.91x = 6,912,288,179.40
  5. Step 5: Solve for x
    x = 6,912,288,179.40/45,311.91
  6. Step 6: Final answer
    x = 152,549.05

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.