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Finding the Third Proportional to 56,587.50 and 85,023

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Solution

The third proportional to 56,587.50 and 85,023 is: 127,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,587.50 : 85,023 = 85,023 : x
  2. Step 2: Convert to fraction form
    56,587.50/85,023 = 85,023/x
  3. Step 3: Cross multiply
    56,587.50x = 85,023 × 85,023
  4. Step 4: Simplify right side
    56,587.50x = 7,228,910,529
  5. Step 5: Solve for x
    x = 7,228,910,529/56,587.50
  6. Step 6: Final answer
    x = 127,747.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.