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Finding the Third Proportional to 31,254 and 67,428.75

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Solution

The third proportional to 31,254 and 67,428.75 is: 145,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,254 : 67,428.75 = 67,428.75 : x
  2. Step 2: Convert to fraction form
    31,254/67,428.75 = 67,428.75/x
  3. Step 3: Cross multiply
    31,254x = 67,428.75 × 67,428.75
  4. Step 4: Simplify right side
    31,254x = 4,546,636,326.56
  5. Step 5: Solve for x
    x = 4,546,636,326.56/31,254
  6. Step 6: Final answer
    x = 145,473.74

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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.