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Finding the Third Proportional to 96,569 and 153,662

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Solution

The third proportional to 96,569 and 153,662 is: 244,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,569 : 153,662 = 153,662 : x
  2. Step 2: Convert to fraction form
    96,569/153,662 = 153,662/x
  3. Step 3: Cross multiply
    96,569x = 153,662 × 153,662
  4. Step 4: Simplify right side
    96,569x = 23,612,010,244
  5. Step 5: Solve for x
    x = 23,612,010,244/96,569
  6. Step 6: Final answer
    x = 244,509.21

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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.