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Finding the Third Proportional to 31,300.50 and 67,155

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Solution

The third proportional to 31,300.50 and 67,155 is: 144,080.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,300.50 : 67,155 = 67,155 : x
  2. Step 2: Convert to fraction form
    31,300.50/67,155 = 67,155/x
  3. Step 3: Cross multiply
    31,300.50x = 67,155 × 67,155
  4. Step 4: Simplify right side
    31,300.50x = 4,509,794,025
  5. Step 5: Solve for x
    x = 4,509,794,025/31,300.50
  6. Step 6: Final answer
    x = 144,080.57

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.