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Finding the Third Proportional to 63,819 and 95,424.50

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Solution

The third proportional to 63,819 and 95,424.50 is: 142,682.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,819 : 95,424.50 = 95,424.50 : x
  2. Step 2: Convert to fraction form
    63,819/95,424.50 = 95,424.50/x
  3. Step 3: Cross multiply
    63,819x = 95,424.50 × 95,424.50
  4. Step 4: Simplify right side
    63,819x = 9,105,835,200.25
  5. Step 5: Solve for x
    x = 9,105,835,200.25/63,819
  6. Step 6: Final answer
    x = 142,682.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.