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Finding the Third Proportional to 102,248 and 149,934

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Solution

The third proportional to 102,248 and 149,934 is: 219,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,248 : 149,934 = 149,934 : x
  2. Step 2: Convert to fraction form
    102,248/149,934 = 149,934/x
  3. Step 3: Cross multiply
    102,248x = 149,934 × 149,934
  4. Step 4: Simplify right side
    102,248x = 22,480,204,356
  5. Step 5: Solve for x
    x = 22,480,204,356/102,248
  6. Step 6: Final answer
    x = 219,859.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.