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Finding the Third Proportional to 51,788 and 113,332

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Solution

The third proportional to 51,788 and 113,332 is: 248,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,788 : 113,332 = 113,332 : x
  2. Step 2: Convert to fraction form
    51,788/113,332 = 113,332/x
  3. Step 3: Cross multiply
    51,788x = 113,332 × 113,332
  4. Step 4: Simplify right side
    51,788x = 12,844,142,224
  5. Step 5: Solve for x
    x = 12,844,142,224/51,788
  6. Step 6: Final answer
    x = 248,013.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.