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Finding the Third Proportional to 64,118.25 and 140,037

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Solution

The third proportional to 64,118.25 and 140,037 is: 305,846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,118.25 : 140,037 = 140,037 : x
  2. Step 2: Convert to fraction form
    64,118.25/140,037 = 140,037/x
  3. Step 3: Cross multiply
    64,118.25x = 140,037 × 140,037
  4. Step 4: Simplify right side
    64,118.25x = 19,610,361,369
  5. Step 5: Solve for x
    x = 19,610,361,369/64,118.25
  6. Step 6: Final answer
    x = 305,846.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.