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Finding the Third Proportional to 96,750 and 146,585

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Solution

The third proportional to 96,750 and 146,585 is: 222,089.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,750 : 146,585 = 146,585 : x
  2. Step 2: Convert to fraction form
    96,750/146,585 = 146,585/x
  3. Step 3: Cross multiply
    96,750x = 146,585 × 146,585
  4. Step 4: Simplify right side
    96,750x = 21,487,162,225
  5. Step 5: Solve for x
    x = 21,487,162,225/96,750
  6. Step 6: Final answer
    x = 222,089.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.