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Finding the Third Proportional to 57,886.50 and 84,939

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Solution

The third proportional to 57,886.50 and 84,939 is: 124,634.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,886.50 : 84,939 = 84,939 : x
  2. Step 2: Convert to fraction form
    57,886.50/84,939 = 84,939/x
  3. Step 3: Cross multiply
    57,886.50x = 84,939 × 84,939
  4. Step 4: Simplify right side
    57,886.50x = 7,214,633,721
  5. Step 5: Solve for x
    x = 7,214,633,721/57,886.50
  6. Step 6: Final answer
    x = 124,634.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.