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Finding the Third Proportional to 85,013 and 124,927

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Solution

The third proportional to 85,013 and 124,927 is: 183,580.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,013 : 124,927 = 124,927 : x
  2. Step 2: Convert to fraction form
    85,013/124,927 = 124,927/x
  3. Step 3: Cross multiply
    85,013x = 124,927 × 124,927
  4. Step 4: Simplify right side
    85,013x = 15,606,755,329
  5. Step 5: Solve for x
    x = 15,606,755,329/85,013
  6. Step 6: Final answer
    x = 183,580.81

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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.