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Finding the Third Proportional to 54,702 and 87,034

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Solution

The third proportional to 54,702 and 87,034 is: 138,476.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,702 : 87,034 = 87,034 : x
  2. Step 2: Convert to fraction form
    54,702/87,034 = 87,034/x
  3. Step 3: Cross multiply
    54,702x = 87,034 × 87,034
  4. Step 4: Simplify right side
    54,702x = 7,574,917,156
  5. Step 5: Solve for x
    x = 7,574,917,156/54,702
  6. Step 6: Final answer
    x = 138,476.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.