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Finding the Third Proportional to 56,976 and 88,451

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Solution

The third proportional to 56,976 and 88,451 is: 137,313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,976 : 88,451 = 88,451 : x
  2. Step 2: Convert to fraction form
    56,976/88,451 = 88,451/x
  3. Step 3: Cross multiply
    56,976x = 88,451 × 88,451
  4. Step 4: Simplify right side
    56,976x = 7,823,579,401
  5. Step 5: Solve for x
    x = 7,823,579,401/56,976
  6. Step 6: Final answer
    x = 137,313.60

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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.