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Finding the Third Proportional to 71,263.50 and 150,537

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Solution

The third proportional to 71,263.50 and 150,537 is: 317,994.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,263.50 : 150,537 = 150,537 : x
  2. Step 2: Convert to fraction form
    71,263.50/150,537 = 150,537/x
  3. Step 3: Cross multiply
    71,263.50x = 150,537 × 150,537
  4. Step 4: Simplify right side
    71,263.50x = 22,661,388,369
  5. Step 5: Solve for x
    x = 22,661,388,369/71,263.50
  6. Step 6: Final answer
    x = 317,994.32

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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.