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Finding the Third Proportional to 63,924.50 and 97,834

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Solution

The third proportional to 63,924.50 and 97,834 is: 149,731.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,924.50 : 97,834 = 97,834 : x
  2. Step 2: Convert to fraction form
    63,924.50/97,834 = 97,834/x
  3. Step 3: Cross multiply
    63,924.50x = 97,834 × 97,834
  4. Step 4: Simplify right side
    63,924.50x = 9,571,491,556
  5. Step 5: Solve for x
    x = 9,571,491,556/63,924.50
  6. Step 6: Final answer
    x = 149,731.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.