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Finding the Third Proportional to 56,598 and 82,891

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Solution

The third proportional to 56,598 and 82,891 is: 121,398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,598 : 82,891 = 82,891 : x
  2. Step 2: Convert to fraction form
    56,598/82,891 = 82,891/x
  3. Step 3: Cross multiply
    56,598x = 82,891 × 82,891
  4. Step 4: Simplify right side
    56,598x = 6,870,917,881
  5. Step 5: Solve for x
    x = 6,870,917,881/56,598
  6. Step 6: Final answer
    x = 121,398.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.