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Finding the Third Proportional to 104,217 and 161,473.50

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Solution

The third proportional to 104,217 and 161,473.50 is: 250,186.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,217 : 161,473.50 = 161,473.50 : x
  2. Step 2: Convert to fraction form
    104,217/161,473.50 = 161,473.50/x
  3. Step 3: Cross multiply
    104,217x = 161,473.50 × 161,473.50
  4. Step 4: Simplify right side
    104,217x = 26,073,691,202.25
  5. Step 5: Solve for x
    x = 26,073,691,202.25/104,217
  6. Step 6: Final answer
    x = 250,186.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.