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Finding the Third Proportional to 71,251 and 150,547

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Solution

The third proportional to 71,251 and 150,547 is: 318,092.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,251 : 150,547 = 150,547 : x
  2. Step 2: Convert to fraction form
    71,251/150,547 = 150,547/x
  3. Step 3: Cross multiply
    71,251x = 150,547 × 150,547
  4. Step 4: Simplify right side
    71,251x = 22,664,399,209
  5. Step 5: Solve for x
    x = 22,664,399,209/71,251
  6. Step 6: Final answer
    x = 318,092.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.