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Finding the Third Proportional to 71,182 and 154,052

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Solution

The third proportional to 71,182 and 154,052 is: 333,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,182 : 154,052 = 154,052 : x
  2. Step 2: Convert to fraction form
    71,182/154,052 = 154,052/x
  3. Step 3: Cross multiply
    71,182x = 154,052 × 154,052
  4. Step 4: Simplify right side
    71,182x = 23,732,018,704
  5. Step 5: Solve for x
    x = 23,732,018,704/71,182
  6. Step 6: Final answer
    x = 333,399.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.