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Finding the Third Proportional to 115,614 and 173,421

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Solution

The third proportional to 115,614 and 173,421 is: 260,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,614 : 173,421 = 173,421 : x
  2. Step 2: Convert to fraction form
    115,614/173,421 = 173,421/x
  3. Step 3: Cross multiply
    115,614x = 173,421 × 173,421
  4. Step 4: Simplify right side
    115,614x = 30,074,843,241
  5. Step 5: Solve for x
    x = 30,074,843,241/115,614
  6. Step 6: Final answer
    x = 260,131.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.