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Finding the Third Proportional to 51,105 and 112,066

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Solution

The third proportional to 51,105 and 112,066 is: 245,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,105 : 112,066 = 112,066 : x
  2. Step 2: Convert to fraction form
    51,105/112,066 = 112,066/x
  3. Step 3: Cross multiply
    51,105x = 112,066 × 112,066
  4. Step 4: Simplify right side
    51,105x = 12,558,788,356
  5. Step 5: Solve for x
    x = 12,558,788,356/51,105
  6. Step 6: Final answer
    x = 245,744.81

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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.