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Finding the Third Proportional to 96,232 and 151,170

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Solution

The third proportional to 96,232 and 151,170 is: 237,471.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,232 : 151,170 = 151,170 : x
  2. Step 2: Convert to fraction form
    96,232/151,170 = 151,170/x
  3. Step 3: Cross multiply
    96,232x = 151,170 × 151,170
  4. Step 4: Simplify right side
    96,232x = 22,852,368,900
  5. Step 5: Solve for x
    x = 22,852,368,900/96,232
  6. Step 6: Final answer
    x = 237,471.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.