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Finding the Third Proportional to 139,376 and 187,275

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Solution

The third proportional to 139,376 and 187,275 is: 251,635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,376 : 187,275 = 187,275 : x
  2. Step 2: Convert to fraction form
    139,376/187,275 = 187,275/x
  3. Step 3: Cross multiply
    139,376x = 187,275 × 187,275
  4. Step 4: Simplify right side
    139,376x = 35,071,925,625
  5. Step 5: Solve for x
    x = 35,071,925,625/139,376
  6. Step 6: Final answer
    x = 251,635.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.