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Finding the Third Proportional to 31,498.50 and 68,079.75

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Solution

The third proportional to 31,498.50 and 68,079.75 is: 147,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,498.50 : 68,079.75 = 68,079.75 : x
  2. Step 2: Convert to fraction form
    31,498.50/68,079.75 = 68,079.75/x
  3. Step 3: Cross multiply
    31,498.50x = 68,079.75 × 68,079.75
  4. Step 4: Simplify right side
    31,498.50x = 4,634,852,360.06
  5. Step 5: Solve for x
    x = 4,634,852,360.06/31,498.50
  6. Step 6: Final answer
    x = 147,145.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.