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Finding the Third Proportional to 83,918 and 117,330

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Solution

The third proportional to 83,918 and 117,330 is: 164,045.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,918 : 117,330 = 117,330 : x
  2. Step 2: Convert to fraction form
    83,918/117,330 = 117,330/x
  3. Step 3: Cross multiply
    83,918x = 117,330 × 117,330
  4. Step 4: Simplify right side
    83,918x = 13,766,328,900
  5. Step 5: Solve for x
    x = 13,766,328,900/83,918
  6. Step 6: Final answer
    x = 164,045.01

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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.