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Finding the Third Proportional to 75,248 and 100,365

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Solution

The third proportional to 75,248 and 100,365 is: 133,865.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,248 : 100,365 = 100,365 : x
  2. Step 2: Convert to fraction form
    75,248/100,365 = 100,365/x
  3. Step 3: Cross multiply
    75,248x = 100,365 × 100,365
  4. Step 4: Simplify right side
    75,248x = 10,073,133,225
  5. Step 5: Solve for x
    x = 10,073,133,225/75,248
  6. Step 6: Final answer
    x = 133,865.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.