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Finding the Third Proportional to 96,987 and 149,585

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Solution

The third proportional to 96,987 and 149,585 is: 230,707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,987 : 149,585 = 149,585 : x
  2. Step 2: Convert to fraction form
    96,987/149,585 = 149,585/x
  3. Step 3: Cross multiply
    96,987x = 149,585 × 149,585
  4. Step 4: Simplify right side
    96,987x = 22,375,672,225
  5. Step 5: Solve for x
    x = 22,375,672,225/96,987
  6. Step 6: Final answer
    x = 230,707.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.