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Finding the Third Proportional to 103,087 and 219,674

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Solution

The third proportional to 103,087 and 219,674 is: 468,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,087 : 219,674 = 219,674 : x
  2. Step 2: Convert to fraction form
    103,087/219,674 = 219,674/x
  3. Step 3: Cross multiply
    103,087x = 219,674 × 219,674
  4. Step 4: Simplify right side
    103,087x = 48,256,666,276
  5. Step 5: Solve for x
    x = 48,256,666,276/103,087
  6. Step 6: Final answer
    x = 468,115.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.