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Finding the Third Proportional to 104,016.75 and 148,635.75

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Solution

The third proportional to 104,016.75 and 148,635.75 is: 212,394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,016.75 : 148,635.75 = 148,635.75 : x
  2. Step 2: Convert to fraction form
    104,016.75/148,635.75 = 148,635.75/x
  3. Step 3: Cross multiply
    104,016.75x = 148,635.75 × 148,635.75
  4. Step 4: Simplify right side
    104,016.75x = 22,092,586,178.06
  5. Step 5: Solve for x
    x = 22,092,586,178.06/104,016.75
  6. Step 6: Final answer
    x = 212,394.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.