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Finding the Third Proportional to 75,260 and 112,521

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Solution

The third proportional to 75,260 and 112,521 is: 168,229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,260 : 112,521 = 112,521 : x
  2. Step 2: Convert to fraction form
    75,260/112,521 = 112,521/x
  3. Step 3: Cross multiply
    75,260x = 112,521 × 112,521
  4. Step 4: Simplify right side
    75,260x = 12,660,975,441
  5. Step 5: Solve for x
    x = 12,660,975,441/75,260
  6. Step 6: Final answer
    x = 168,229.81

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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.