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Finding the Third Proportional to 83,977 and 128,857.50

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Solution

The third proportional to 83,977 and 128,857.50 is: 197,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,977 : 128,857.50 = 128,857.50 : x
  2. Step 2: Convert to fraction form
    83,977/128,857.50 = 128,857.50/x
  3. Step 3: Cross multiply
    83,977x = 128,857.50 × 128,857.50
  4. Step 4: Simplify right side
    83,977x = 16,604,255,306.25
  5. Step 5: Solve for x
    x = 16,604,255,306.25/83,977
  6. Step 6: Final answer
    x = 197,723.84

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.