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Finding the Third Proportional to 68,332 and 140,066

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Solution

The third proportional to 68,332 and 140,066 is: 287,105.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,332 : 140,066 = 140,066 : x
  2. Step 2: Convert to fraction form
    68,332/140,066 = 140,066/x
  3. Step 3: Cross multiply
    68,332x = 140,066 × 140,066
  4. Step 4: Simplify right side
    68,332x = 19,618,484,356
  5. Step 5: Solve for x
    x = 19,618,484,356/68,332
  6. Step 6: Final answer
    x = 287,105.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.