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Finding the Third Proportional to 51,248 and 76,953

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Solution

The third proportional to 51,248 and 76,953 is: 115,551.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,248 : 76,953 = 76,953 : x
  2. Step 2: Convert to fraction form
    51,248/76,953 = 76,953/x
  3. Step 3: Cross multiply
    51,248x = 76,953 × 76,953
  4. Step 4: Simplify right side
    51,248x = 5,921,764,209
  5. Step 5: Solve for x
    x = 5,921,764,209/51,248
  6. Step 6: Final answer
    x = 115,551.13

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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.