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Finding the Third Proportional to 114,408 and 175,017

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Solution

The third proportional to 114,408 and 175,017 is: 267,734.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,408 : 175,017 = 175,017 : x
  2. Step 2: Convert to fraction form
    114,408/175,017 = 175,017/x
  3. Step 3: Cross multiply
    114,408x = 175,017 × 175,017
  4. Step 4: Simplify right side
    114,408x = 30,630,950,289
  5. Step 5: Solve for x
    x = 30,630,950,289/114,408
  6. Step 6: Final answer
    x = 267,734.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.