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Finding the Third Proportional to 54,464 and 85,588

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Solution

The third proportional to 54,464 and 85,588 is: 134,498.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,464 : 85,588 = 85,588 : x
  2. Step 2: Convert to fraction form
    54,464/85,588 = 85,588/x
  3. Step 3: Cross multiply
    54,464x = 85,588 × 85,588
  4. Step 4: Simplify right side
    54,464x = 7,325,305,744
  5. Step 5: Solve for x
    x = 7,325,305,744/54,464
  6. Step 6: Final answer
    x = 134,498.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.