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Finding the Third Proportional to 76,995 and 112,824

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Solution

The third proportional to 76,995 and 112,824 is: 165,325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,995 : 112,824 = 112,824 : x
  2. Step 2: Convert to fraction form
    76,995/112,824 = 112,824/x
  3. Step 3: Cross multiply
    76,995x = 112,824 × 112,824
  4. Step 4: Simplify right side
    76,995x = 12,729,254,976
  5. Step 5: Solve for x
    x = 12,729,254,976/76,995
  6. Step 6: Final answer
    x = 165,325.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.