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Finding the Third Proportional to 45,560 and 66,105

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Solution

The third proportional to 45,560 and 66,105 is: 95,914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,560 : 66,105 = 66,105 : x
  2. Step 2: Convert to fraction form
    45,560/66,105 = 66,105/x
  3. Step 3: Cross multiply
    45,560x = 66,105 × 66,105
  4. Step 4: Simplify right side
    45,560x = 4,369,871,025
  5. Step 5: Solve for x
    x = 4,369,871,025/45,560
  6. Step 6: Final answer
    x = 95,914.64

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.