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Finding the Third Proportional to 103,891.50 and 158,024.25

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Solution

The third proportional to 103,891.50 and 158,024.25 is: 240,362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,891.50 : 158,024.25 = 158,024.25 : x
  2. Step 2: Convert to fraction form
    103,891.50/158,024.25 = 158,024.25/x
  3. Step 3: Cross multiply
    103,891.50x = 158,024.25 × 158,024.25
  4. Step 4: Simplify right side
    103,891.50x = 24,971,663,588.06
  5. Step 5: Solve for x
    x = 24,971,663,588.06/103,891.50
  6. Step 6: Final answer
    x = 240,362.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.