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Finding the Third Proportional to 68,543.25 and 158,663.25

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Solution

The third proportional to 68,543.25 and 158,663.25 is: 367,272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,543.25 : 158,663.25 = 158,663.25 : x
  2. Step 2: Convert to fraction form
    68,543.25/158,663.25 = 158,663.25/x
  3. Step 3: Cross multiply
    68,543.25x = 158,663.25 × 158,663.25
  4. Step 4: Simplify right side
    68,543.25x = 25,174,026,900.56
  5. Step 5: Solve for x
    x = 25,174,026,900.56/68,543.25
  6. Step 6: Final answer
    x = 367,272.15

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.