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Finding the Third Proportional to 83,956.50 and 116,364

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Solution

The third proportional to 83,956.50 and 116,364 is: 161,280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,956.50 : 116,364 = 116,364 : x
  2. Step 2: Convert to fraction form
    83,956.50/116,364 = 116,364/x
  3. Step 3: Cross multiply
    83,956.50x = 116,364 × 116,364
  4. Step 4: Simplify right side
    83,956.50x = 13,540,580,496
  5. Step 5: Solve for x
    x = 13,540,580,496/83,956.50
  6. Step 6: Final answer
    x = 161,280.91

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.