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Finding the Third Proportional to 51,542 and 75,465

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Solution

The third proportional to 51,542 and 75,465 is: 110,491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,542 : 75,465 = 75,465 : x
  2. Step 2: Convert to fraction form
    51,542/75,465 = 75,465/x
  3. Step 3: Cross multiply
    51,542x = 75,465 × 75,465
  4. Step 4: Simplify right side
    51,542x = 5,694,966,225
  5. Step 5: Solve for x
    x = 5,694,966,225/51,542
  6. Step 6: Final answer
    x = 110,491.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.