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Finding the Third Proportional to 78,166 and 121,109

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Solution

The third proportional to 78,166 and 121,109 is: 187,644.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,166 : 121,109 = 121,109 : x
  2. Step 2: Convert to fraction form
    78,166/121,109 = 121,109/x
  3. Step 3: Cross multiply
    78,166x = 121,109 × 121,109
  4. Step 4: Simplify right side
    78,166x = 14,667,389,881
  5. Step 5: Solve for x
    x = 14,667,389,881/78,166
  6. Step 6: Final answer
    x = 187,644.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.