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Finding the Third Proportional to 75,166 and 116,550

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Solution

The third proportional to 75,166 and 116,550 is: 180,718.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,166 : 116,550 = 116,550 : x
  2. Step 2: Convert to fraction form
    75,166/116,550 = 116,550/x
  3. Step 3: Cross multiply
    75,166x = 116,550 × 116,550
  4. Step 4: Simplify right side
    75,166x = 13,583,902,500
  5. Step 5: Solve for x
    x = 13,583,902,500/75,166
  6. Step 6: Final answer
    x = 180,718.71

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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.