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Finding the Third Proportional to 50,672 and 76,312

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Solution

The third proportional to 50,672 and 76,312 is: 114,925.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,672 : 76,312 = 76,312 : x
  2. Step 2: Convert to fraction form
    50,672/76,312 = 76,312/x
  3. Step 3: Cross multiply
    50,672x = 76,312 × 76,312
  4. Step 4: Simplify right side
    50,672x = 5,823,521,344
  5. Step 5: Solve for x
    x = 5,823,521,344/50,672
  6. Step 6: Final answer
    x = 114,925.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.