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Finding the Third Proportional to 114,614 and 175,214

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Solution

The third proportional to 114,614 and 175,214 is: 267,855.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,614 : 175,214 = 175,214 : x
  2. Step 2: Convert to fraction form
    114,614/175,214 = 175,214/x
  3. Step 3: Cross multiply
    114,614x = 175,214 × 175,214
  4. Step 4: Simplify right side
    114,614x = 30,699,945,796
  5. Step 5: Solve for x
    x = 30,699,945,796/114,614
  6. Step 6: Final answer
    x = 267,855.11

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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.