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Finding the Third Proportional to 49,312 and 92,864

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Solution

The third proportional to 49,312 and 92,864 is: 174,880.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,312 : 92,864 = 92,864 : x
  2. Step 2: Convert to fraction form
    49,312/92,864 = 92,864/x
  3. Step 3: Cross multiply
    49,312x = 92,864 × 92,864
  4. Step 4: Simplify right side
    49,312x = 8,623,722,496
  5. Step 5: Solve for x
    x = 8,623,722,496/49,312
  6. Step 6: Final answer
    x = 174,880.81

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.