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Finding the Third Proportional to 39,124 and 85,538

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Solution

The third proportional to 39,124 and 85,538 is: 187,014.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,124 : 85,538 = 85,538 : x
  2. Step 2: Convert to fraction form
    39,124/85,538 = 85,538/x
  3. Step 3: Cross multiply
    39,124x = 85,538 × 85,538
  4. Step 4: Simplify right side
    39,124x = 7,316,749,444
  5. Step 5: Solve for x
    x = 7,316,749,444/39,124
  6. Step 6: Final answer
    x = 187,014.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.