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Finding the Third Proportional to 86,350 and 116,671

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Solution

The third proportional to 86,350 and 116,671 is: 157,638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,350 : 116,671 = 116,671 : x
  2. Step 2: Convert to fraction form
    86,350/116,671 = 116,671/x
  3. Step 3: Cross multiply
    86,350x = 116,671 × 116,671
  4. Step 4: Simplify right side
    86,350x = 13,612,122,241
  5. Step 5: Solve for x
    x = 13,612,122,241/86,350
  6. Step 6: Final answer
    x = 157,638.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.