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Finding the Third Proportional to 31,119.75 and 68,287.50

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Solution

The third proportional to 31,119.75 and 68,287.50 is: 149,846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,119.75 : 68,287.50 = 68,287.50 : x
  2. Step 2: Convert to fraction form
    31,119.75/68,287.50 = 68,287.50/x
  3. Step 3: Cross multiply
    31,119.75x = 68,287.50 × 68,287.50
  4. Step 4: Simplify right side
    31,119.75x = 4,663,182,656.25
  5. Step 5: Solve for x
    x = 4,663,182,656.25/31,119.75
  6. Step 6: Final answer
    x = 149,846.40

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.