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Finding the Third Proportional to 60,471 and 131,438.25

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Solution

The third proportional to 60,471 and 131,438.25 is: 285,690.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,471 : 131,438.25 = 131,438.25 : x
  2. Step 2: Convert to fraction form
    60,471/131,438.25 = 131,438.25/x
  3. Step 3: Cross multiply
    60,471x = 131,438.25 × 131,438.25
  4. Step 4: Simplify right side
    60,471x = 17,276,013,563.06
  5. Step 5: Solve for x
    x = 17,276,013,563.06/60,471
  6. Step 6: Final answer
    x = 285,690.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.