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Finding the Third Proportional to 85,417 and 124,834

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Solution

The third proportional to 85,417 and 124,834 is: 182,440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,417 : 124,834 = 124,834 : x
  2. Step 2: Convert to fraction form
    85,417/124,834 = 124,834/x
  3. Step 3: Cross multiply
    85,417x = 124,834 × 124,834
  4. Step 4: Simplify right side
    85,417x = 15,583,527,556
  5. Step 5: Solve for x
    x = 15,583,527,556/85,417
  6. Step 6: Final answer
    x = 182,440.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.