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Finding the Third Proportional to 56,977 and 88,449

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Solution

The third proportional to 56,977 and 88,449 is: 137,304.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,977 : 88,449 = 88,449 : x
  2. Step 2: Convert to fraction form
    56,977/88,449 = 88,449/x
  3. Step 3: Cross multiply
    56,977x = 88,449 × 88,449
  4. Step 4: Simplify right side
    56,977x = 7,823,225,601
  5. Step 5: Solve for x
    x = 7,823,225,601/56,977
  6. Step 6: Final answer
    x = 137,304.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.