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Finding the Third Proportional to 56,960 and 90,992

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Solution

The third proportional to 56,960 and 90,992 is: 145,357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,960 : 90,992 = 90,992 : x
  2. Step 2: Convert to fraction form
    56,960/90,992 = 90,992/x
  3. Step 3: Cross multiply
    56,960x = 90,992 × 90,992
  4. Step 4: Simplify right side
    56,960x = 8,279,544,064
  5. Step 5: Solve for x
    x = 8,279,544,064/56,960
  6. Step 6: Final answer
    x = 145,357.16

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.