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Finding the Third Proportional to 68,999.25 and 148,569

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Solution

The third proportional to 68,999.25 and 148,569 is: 319,898.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,999.25 : 148,569 = 148,569 : x
  2. Step 2: Convert to fraction form
    68,999.25/148,569 = 148,569/x
  3. Step 3: Cross multiply
    68,999.25x = 148,569 × 148,569
  4. Step 4: Simplify right side
    68,999.25x = 22,072,747,761
  5. Step 5: Solve for x
    x = 22,072,747,761/68,999.25
  6. Step 6: Final answer
    x = 319,898.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.