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Finding the Third Proportional to 64,964.25 and 95,197.50

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Solution

The third proportional to 64,964.25 and 95,197.50 is: 139,500.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,964.25 : 95,197.50 = 95,197.50 : x
  2. Step 2: Convert to fraction form
    64,964.25/95,197.50 = 95,197.50/x
  3. Step 3: Cross multiply
    64,964.25x = 95,197.50 × 95,197.50
  4. Step 4: Simplify right side
    64,964.25x = 9,062,564,006.25
  5. Step 5: Solve for x
    x = 9,062,564,006.25/64,964.25
  6. Step 6: Final answer
    x = 139,500.79

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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.