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Finding the Third Proportional to 71,018 and 154,747

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Solution

The third proportional to 71,018 and 154,747 is: 337,191.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,018 : 154,747 = 154,747 : x
  2. Step 2: Convert to fraction form
    71,018/154,747 = 154,747/x
  3. Step 3: Cross multiply
    71,018x = 154,747 × 154,747
  4. Step 4: Simplify right side
    71,018x = 23,946,634,009
  5. Step 5: Solve for x
    x = 23,946,634,009/71,018
  6. Step 6: Final answer
    x = 337,191.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.