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Finding the Third Proportional to 85,017 and 124,933

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Solution

The third proportional to 85,017 and 124,933 is: 183,589.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,017 : 124,933 = 124,933 : x
  2. Step 2: Convert to fraction form
    85,017/124,933 = 124,933/x
  3. Step 3: Cross multiply
    85,017x = 124,933 × 124,933
  4. Step 4: Simplify right side
    85,017x = 15,608,254,489
  5. Step 5: Solve for x
    x = 15,608,254,489/85,017
  6. Step 6: Final answer
    x = 183,589.81

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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.