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Finding the Third Proportional to 56,885 and 76,578

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Solution

The third proportional to 56,885 and 76,578 is: 103,088.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,885 : 76,578 = 76,578 : x
  2. Step 2: Convert to fraction form
    56,885/76,578 = 76,578/x
  3. Step 3: Cross multiply
    56,885x = 76,578 × 76,578
  4. Step 4: Simplify right side
    56,885x = 5,864,190,084
  5. Step 5: Solve for x
    x = 5,864,190,084/56,885
  6. Step 6: Final answer
    x = 103,088.51

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.