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Finding the Third Proportional to 107,242.50 and 211,791

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Solution

The third proportional to 107,242.50 and 211,791 is: 418,261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,242.50 : 211,791 = 211,791 : x
  2. Step 2: Convert to fraction form
    107,242.50/211,791 = 211,791/x
  3. Step 3: Cross multiply
    107,242.50x = 211,791 × 211,791
  4. Step 4: Simplify right side
    107,242.50x = 44,855,427,681
  5. Step 5: Solve for x
    x = 44,855,427,681/107,242.50
  6. Step 6: Final answer
    x = 418,261.67

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.