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Finding the Third Proportional to 51,534 and 81,459

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Solution

The third proportional to 51,534 and 81,459 is: 128,760.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,534 : 81,459 = 81,459 : x
  2. Step 2: Convert to fraction form
    51,534/81,459 = 81,459/x
  3. Step 3: Cross multiply
    51,534x = 81,459 × 81,459
  4. Step 4: Simplify right side
    51,534x = 6,635,568,681
  5. Step 5: Solve for x
    x = 6,635,568,681/51,534
  6. Step 6: Final answer
    x = 128,760.99

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.