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Finding the Third Proportional to 56,028 and 83,934

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Solution

The third proportional to 56,028 and 83,934 is: 125,739.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,028 : 83,934 = 83,934 : x
  2. Step 2: Convert to fraction form
    56,028/83,934 = 83,934/x
  3. Step 3: Cross multiply
    56,028x = 83,934 × 83,934
  4. Step 4: Simplify right side
    56,028x = 7,044,916,356
  5. Step 5: Solve for x
    x = 7,044,916,356/56,028
  6. Step 6: Final answer
    x = 125,739.21

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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.