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Finding the Third Proportional to 62,472 and 136,595

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Solution

The third proportional to 62,472 and 136,595 is: 298,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,472 : 136,595 = 136,595 : x
  2. Step 2: Convert to fraction form
    62,472/136,595 = 136,595/x
  3. Step 3: Cross multiply
    62,472x = 136,595 × 136,595
  4. Step 4: Simplify right side
    62,472x = 18,658,194,025
  5. Step 5: Solve for x
    x = 18,658,194,025/62,472
  6. Step 6: Final answer
    x = 298,664.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.