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Finding the Third Proportional to 115,647.75 and 168,549

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Solution

The third proportional to 115,647.75 and 168,549 is: 245,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,647.75 : 168,549 = 168,549 : x
  2. Step 2: Convert to fraction form
    115,647.75/168,549 = 168,549/x
  3. Step 3: Cross multiply
    115,647.75x = 168,549 × 168,549
  4. Step 4: Simplify right side
    115,647.75x = 28,408,765,401
  5. Step 5: Solve for x
    x = 28,408,765,401/115,647.75
  6. Step 6: Final answer
    x = 245,649.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.