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Finding the Third Proportional to 31,171.50 and 67,901.63

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Solution

The third proportional to 31,171.50 and 67,901.63 is: 147,911.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,171.50 : 67,901.63 = 67,901.63 : x
  2. Step 2: Convert to fraction form
    31,171.50/67,901.63 = 67,901.63/x
  3. Step 3: Cross multiply
    31,171.50x = 67,901.63 × 67,901.63
  4. Step 4: Simplify right side
    31,171.50x = 4,610,630,677.64
  5. Step 5: Solve for x
    x = 4,610,630,677.64/31,171.50
  6. Step 6: Final answer
    x = 147,911.74

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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.