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Finding the Third Proportional to 51,540 and 73,506

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Solution

The third proportional to 51,540 and 73,506 is: 104,833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,540 : 73,506 = 73,506 : x
  2. Step 2: Convert to fraction form
    51,540/73,506 = 73,506/x
  3. Step 3: Cross multiply
    51,540x = 73,506 × 73,506
  4. Step 4: Simplify right side
    51,540x = 5,403,132,036
  5. Step 5: Solve for x
    x = 5,403,132,036/51,540
  6. Step 6: Final answer
    x = 104,833.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.