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Finding the Third Proportional to 83,156.75 and 128,015.75

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Solution

The third proportional to 83,156.75 and 128,015.75 is: 197,073.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,156.75 : 128,015.75 = 128,015.75 : x
  2. Step 2: Convert to fraction form
    83,156.75/128,015.75 = 128,015.75/x
  3. Step 3: Cross multiply
    83,156.75x = 128,015.75 × 128,015.75
  4. Step 4: Simplify right side
    83,156.75x = 16,388,032,248.06
  5. Step 5: Solve for x
    x = 16,388,032,248.06/83,156.75
  6. Step 6: Final answer
    x = 197,073.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.