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Finding the Third Proportional to 102,401.72 and 158,994.14

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Solution

The third proportional to 102,401.72 and 158,994.14 is: 246,862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,401.72 : 158,994.14 = 158,994.14 : x
  2. Step 2: Convert to fraction form
    102,401.72/158,994.14 = 158,994.14/x
  3. Step 3: Cross multiply
    102,401.72x = 158,994.14 × 158,994.14
  4. Step 4: Simplify right side
    102,401.72x = 25,279,136,753.08
  5. Step 5: Solve for x
    x = 25,279,136,753.08/102,401.72
  6. Step 6: Final answer
    x = 246,862.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.