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Finding the Third Proportional to 45,865.13 and 72,966.75

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Solution

The third proportional to 45,865.13 and 72,966.75 is: 116,082.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,865.13 : 72,966.75 = 72,966.75 : x
  2. Step 2: Convert to fraction form
    45,865.13/72,966.75 = 72,966.75/x
  3. Step 3: Cross multiply
    45,865.13x = 72,966.75 × 72,966.75
  4. Step 4: Simplify right side
    45,865.13x = 5,324,146,605.56
  5. Step 5: Solve for x
    x = 5,324,146,605.56/45,865.13
  6. Step 6: Final answer
    x = 116,082.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.