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Finding the Third Proportional to 67,918 and 144,596

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Solution

The third proportional to 67,918 and 144,596 is: 307,841.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,918 : 144,596 = 144,596 : x
  2. Step 2: Convert to fraction form
    67,918/144,596 = 144,596/x
  3. Step 3: Cross multiply
    67,918x = 144,596 × 144,596
  4. Step 4: Simplify right side
    67,918x = 20,908,003,216
  5. Step 5: Solve for x
    x = 20,908,003,216/67,918
  6. Step 6: Final answer
    x = 307,841.86

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.