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Finding the Third Proportional to 71,817 and 154,297

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Solution

The third proportional to 71,817 and 154,297 is: 331,503.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,817 : 154,297 = 154,297 : x
  2. Step 2: Convert to fraction form
    71,817/154,297 = 154,297/x
  3. Step 3: Cross multiply
    71,817x = 154,297 × 154,297
  4. Step 4: Simplify right side
    71,817x = 23,807,564,209
  5. Step 5: Solve for x
    x = 23,807,564,209/71,817
  6. Step 6: Final answer
    x = 331,503.18

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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.