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Finding the Third Proportional to 68,154 and 139,090

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Solution

The third proportional to 68,154 and 139,090 is: 283,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,154 : 139,090 = 139,090 : x
  2. Step 2: Convert to fraction form
    68,154/139,090 = 139,090/x
  3. Step 3: Cross multiply
    68,154x = 139,090 × 139,090
  4. Step 4: Simplify right side
    68,154x = 19,346,028,100
  5. Step 5: Solve for x
    x = 19,346,028,100/68,154
  6. Step 6: Final answer
    x = 283,857.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.