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Finding the Third Proportional to 83,708 and 117,348

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Solution

The third proportional to 83,708 and 117,348 is: 164,507.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,708 : 117,348 = 117,348 : x
  2. Step 2: Convert to fraction form
    83,708/117,348 = 117,348/x
  3. Step 3: Cross multiply
    83,708x = 117,348 × 117,348
  4. Step 4: Simplify right side
    83,708x = 13,770,553,104
  5. Step 5: Solve for x
    x = 13,770,553,104/83,708
  6. Step 6: Final answer
    x = 164,507.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.