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Finding the Third Proportional to 62,296 and 89,548

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Solution

The third proportional to 62,296 and 89,548 is: 128,721.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,296 : 89,548 = 89,548 : x
  2. Step 2: Convert to fraction form
    62,296/89,548 = 89,548/x
  3. Step 3: Cross multiply
    62,296x = 89,548 × 89,548
  4. Step 4: Simplify right side
    62,296x = 8,018,844,304
  5. Step 5: Solve for x
    x = 8,018,844,304/62,296
  6. Step 6: Final answer
    x = 128,721.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.