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Finding the Third Proportional to 64,472 and 139,960

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Solution

The third proportional to 64,472 and 139,960 is: 303,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,472 : 139,960 = 139,960 : x
  2. Step 2: Convert to fraction form
    64,472/139,960 = 139,960/x
  3. Step 3: Cross multiply
    64,472x = 139,960 × 139,960
  4. Step 4: Simplify right side
    64,472x = 19,588,801,600
  5. Step 5: Solve for x
    x = 19,588,801,600/64,472
  6. Step 6: Final answer
    x = 303,834.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.