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Finding the Third Proportional to 39,151 and 84,680

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Solution

The third proportional to 39,151 and 84,680 is: 183,155.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,151 : 84,680 = 84,680 : x
  2. Step 2: Convert to fraction form
    39,151/84,680 = 84,680/x
  3. Step 3: Cross multiply
    39,151x = 84,680 × 84,680
  4. Step 4: Simplify right side
    39,151x = 7,170,702,400
  5. Step 5: Solve for x
    x = 7,170,702,400/39,151
  6. Step 6: Final answer
    x = 183,155.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.