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Finding the Third Proportional to 67,066 and 139,640

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Solution

The third proportional to 67,066 and 139,640 is: 290,748.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,066 : 139,640 = 139,640 : x
  2. Step 2: Convert to fraction form
    67,066/139,640 = 139,640/x
  3. Step 3: Cross multiply
    67,066x = 139,640 × 139,640
  4. Step 4: Simplify right side
    67,066x = 19,499,329,600
  5. Step 5: Solve for x
    x = 19,499,329,600/67,066
  6. Step 6: Final answer
    x = 290,748.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.