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Finding the Third Proportional to 100,764 and 136,377

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Solution

The third proportional to 100,764 and 136,377 is: 184,576.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,764 : 136,377 = 136,377 : x
  2. Step 2: Convert to fraction form
    100,764/136,377 = 136,377/x
  3. Step 3: Cross multiply
    100,764x = 136,377 × 136,377
  4. Step 4: Simplify right side
    100,764x = 18,598,686,129
  5. Step 5: Solve for x
    x = 18,598,686,129/100,764
  6. Step 6: Final answer
    x = 184,576.70

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.