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Finding the Third Proportional to 95,585 and 133,690

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Solution

The third proportional to 95,585 and 133,690 is: 186,985.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,585 : 133,690 = 133,690 : x
  2. Step 2: Convert to fraction form
    95,585/133,690 = 133,690/x
  3. Step 3: Cross multiply
    95,585x = 133,690 × 133,690
  4. Step 4: Simplify right side
    95,585x = 17,873,016,100
  5. Step 5: Solve for x
    x = 17,873,016,100/95,585
  6. Step 6: Final answer
    x = 186,985.57

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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.