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Finding the Third Proportional to 77,838 and 110,925

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Solution

The third proportional to 77,838 and 110,925 is: 158,076.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,838 : 110,925 = 110,925 : x
  2. Step 2: Convert to fraction form
    77,838/110,925 = 110,925/x
  3. Step 3: Cross multiply
    77,838x = 110,925 × 110,925
  4. Step 4: Simplify right side
    77,838x = 12,304,355,625
  5. Step 5: Solve for x
    x = 12,304,355,625/77,838
  6. Step 6: Final answer
    x = 158,076.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.