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Finding the Third Proportional to 63,819 and 93,885

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Solution

The third proportional to 63,819 and 93,885 is: 138,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,819 : 93,885 = 93,885 : x
  2. Step 2: Convert to fraction form
    63,819/93,885 = 93,885/x
  3. Step 3: Cross multiply
    63,819x = 93,885 × 93,885
  4. Step 4: Simplify right side
    63,819x = 8,814,393,225
  5. Step 5: Solve for x
    x = 8,814,393,225/63,819
  6. Step 6: Final answer
    x = 138,115.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.