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Finding the Third Proportional to 66,105 and 128,888

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Solution

The third proportional to 66,105 and 128,888 is: 251,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,105 : 128,888 = 128,888 : x
  2. Step 2: Convert to fraction form
    66,105/128,888 = 128,888/x
  3. Step 3: Cross multiply
    66,105x = 128,888 × 128,888
  4. Step 4: Simplify right side
    66,105x = 16,612,116,544
  5. Step 5: Solve for x
    x = 16,612,116,544/66,105
  6. Step 6: Final answer
    x = 251,298.94

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.