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Finding the Third Proportional to 54,146 and 82,659

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Solution

The third proportional to 54,146 and 82,659 is: 126,186.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,146 : 82,659 = 82,659 : x
  2. Step 2: Convert to fraction form
    54,146/82,659 = 82,659/x
  3. Step 3: Cross multiply
    54,146x = 82,659 × 82,659
  4. Step 4: Simplify right side
    54,146x = 6,832,510,281
  5. Step 5: Solve for x
    x = 6,832,510,281/54,146
  6. Step 6: Final answer
    x = 126,186.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.