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Finding the Third Proportional to 50,206 and 75,315

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Solution

The third proportional to 50,206 and 75,315 is: 112,981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,206 : 75,315 = 75,315 : x
  2. Step 2: Convert to fraction form
    50,206/75,315 = 75,315/x
  3. Step 3: Cross multiply
    50,206x = 75,315 × 75,315
  4. Step 4: Simplify right side
    50,206x = 5,672,349,225
  5. Step 5: Solve for x
    x = 5,672,349,225/50,206
  6. Step 6: Final answer
    x = 112,981.50

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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.