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Finding the Third Proportional to 31,159.53 and 67,956.94

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Solution

The third proportional to 31,159.53 and 67,956.94 is: 148,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,159.53 : 67,956.94 = 67,956.94 : x
  2. Step 2: Convert to fraction form
    31,159.53/67,956.94 = 67,956.94/x
  3. Step 3: Cross multiply
    31,159.53x = 67,956.94 × 67,956.94
  4. Step 4: Simplify right side
    31,159.53x = 4,618,146,150.75
  5. Step 5: Solve for x
    x = 4,618,146,150.75/31,159.53
  6. Step 6: Final answer
    x = 148,209.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.