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Finding the Third Proportional to 83,302 and 118,720

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Solution

The third proportional to 83,302 and 118,720 is: 169,196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,302 : 118,720 = 118,720 : x
  2. Step 2: Convert to fraction form
    83,302/118,720 = 118,720/x
  3. Step 3: Cross multiply
    83,302x = 118,720 × 118,720
  4. Step 4: Simplify right side
    83,302x = 14,094,438,400
  5. Step 5: Solve for x
    x = 14,094,438,400/83,302
  6. Step 6: Final answer
    x = 169,196.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.