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Finding the Third Proportional to 67,660.31 and 144,706.50

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Solution

The third proportional to 67,660.31 and 144,706.50 is: 309,486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,660.31 : 144,706.50 = 144,706.50 : x
  2. Step 2: Convert to fraction form
    67,660.31/144,706.50 = 144,706.50/x
  3. Step 3: Cross multiply
    67,660.31x = 144,706.50 × 144,706.50
  4. Step 4: Simplify right side
    67,660.31x = 20,939,971,142.25
  5. Step 5: Solve for x
    x = 20,939,971,142.25/67,660.31
  6. Step 6: Final answer
    x = 309,486.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.