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Finding the Third Proportional to 102,007 and 135,514

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Solution

The third proportional to 102,007 and 135,514 is: 180,027.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,007 : 135,514 = 135,514 : x
  2. Step 2: Convert to fraction form
    102,007/135,514 = 135,514/x
  3. Step 3: Cross multiply
    102,007x = 135,514 × 135,514
  4. Step 4: Simplify right side
    102,007x = 18,364,044,196
  5. Step 5: Solve for x
    x = 18,364,044,196/102,007
  6. Step 6: Final answer
    x = 180,027.29

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.