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Finding the Third Proportional to 62,520 and 131,574

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Solution

The third proportional to 62,520 and 131,574 is: 276,898.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,520 : 131,574 = 131,574 : x
  2. Step 2: Convert to fraction form
    62,520/131,574 = 131,574/x
  3. Step 3: Cross multiply
    62,520x = 131,574 × 131,574
  4. Step 4: Simplify right side
    62,520x = 17,311,717,476
  5. Step 5: Solve for x
    x = 17,311,717,476/62,520
  6. Step 6: Final answer
    x = 276,898.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.