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Finding the Third Proportional to 130,401.75 and 158,388.75

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Solution

The third proportional to 130,401.75 and 158,388.75 is: 192,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,401.75 : 158,388.75 = 158,388.75 : x
  2. Step 2: Convert to fraction form
    130,401.75/158,388.75 = 158,388.75/x
  3. Step 3: Cross multiply
    130,401.75x = 158,388.75 × 158,388.75
  4. Step 4: Simplify right side
    130,401.75x = 25,086,996,126.56
  5. Step 5: Solve for x
    x = 25,086,996,126.56/130,401.75
  6. Step 6: Final answer
    x = 192,382.36

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.