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Finding the Third Proportional to 100,967.25 and 158,401.13

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Solution

The third proportional to 100,967.25 and 158,401.13 is: 248,505.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,967.25 : 158,401.13 = 158,401.13 : x
  2. Step 2: Convert to fraction form
    100,967.25/158,401.13 = 158,401.13/x
  3. Step 3: Cross multiply
    100,967.25x = 158,401.13 × 158,401.13
  4. Step 4: Simplify right side
    100,967.25x = 25,090,916,401.27
  5. Step 5: Solve for x
    x = 25,090,916,401.27/100,967.25
  6. Step 6: Final answer
    x = 248,505.49

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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.