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Finding the Third Proportional to 49,472 and 109,312

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Solution

The third proportional to 49,472 and 109,312 is: 241,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,472 : 109,312 = 109,312 : x
  2. Step 2: Convert to fraction form
    49,472/109,312 = 109,312/x
  3. Step 3: Cross multiply
    49,472x = 109,312 × 109,312
  4. Step 4: Simplify right side
    49,472x = 11,949,113,344
  5. Step 5: Solve for x
    x = 11,949,113,344/49,472
  6. Step 6: Final answer
    x = 241,532.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.