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Finding the Third Proportional to 62,232 and 98,976

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Solution

The third proportional to 62,232 and 98,976 is: 157,414.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,232 : 98,976 = 98,976 : x
  2. Step 2: Convert to fraction form
    62,232/98,976 = 98,976/x
  3. Step 3: Cross multiply
    62,232x = 98,976 × 98,976
  4. Step 4: Simplify right side
    62,232x = 9,796,248,576
  5. Step 5: Solve for x
    x = 9,796,248,576/62,232
  6. Step 6: Final answer
    x = 157,414.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.