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Finding the Third Proportional to 83,777 and 110,113

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Solution

The third proportional to 83,777 and 110,113 is: 144,727.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,777 : 110,113 = 110,113 : x
  2. Step 2: Convert to fraction form
    83,777/110,113 = 110,113/x
  3. Step 3: Cross multiply
    83,777x = 110,113 × 110,113
  4. Step 4: Simplify right side
    83,777x = 12,124,872,769
  5. Step 5: Solve for x
    x = 12,124,872,769/83,777
  6. Step 6: Final answer
    x = 144,727.94

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.