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Finding the Third Proportional to 83,305 and 118,725

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Solution

The third proportional to 83,305 and 118,725 is: 169,205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,305 : 118,725 = 118,725 : x
  2. Step 2: Convert to fraction form
    83,305/118,725 = 118,725/x
  3. Step 3: Cross multiply
    83,305x = 118,725 × 118,725
  4. Step 4: Simplify right side
    83,305x = 14,095,625,625
  5. Step 5: Solve for x
    x = 14,095,625,625/83,305
  6. Step 6: Final answer
    x = 169,205.04

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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.