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Finding the Third Proportional to 102,175 and 223,007

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Solution

The third proportional to 102,175 and 223,007 is: 486,734.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,175 : 223,007 = 223,007 : x
  2. Step 2: Convert to fraction form
    102,175/223,007 = 223,007/x
  3. Step 3: Cross multiply
    102,175x = 223,007 × 223,007
  4. Step 4: Simplify right side
    102,175x = 49,732,122,049
  5. Step 5: Solve for x
    x = 49,732,122,049/102,175
  6. Step 6: Final answer
    x = 486,734.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.