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Finding the Third Proportional to 39,125 and 83,098

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Solution

The third proportional to 39,125 and 83,098 is: 176,492.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,125 : 83,098 = 83,098 : x
  2. Step 2: Convert to fraction form
    39,125/83,098 = 83,098/x
  3. Step 3: Cross multiply
    39,125x = 83,098 × 83,098
  4. Step 4: Simplify right side
    39,125x = 6,905,277,604
  5. Step 5: Solve for x
    x = 6,905,277,604/39,125
  6. Step 6: Final answer
    x = 176,492.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.