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Finding the Third Proportional to 68,692 and 145,808

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Solution

The third proportional to 68,692 and 145,808 is: 309,497.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,692 : 145,808 = 145,808 : x
  2. Step 2: Convert to fraction form
    68,692/145,808 = 145,808/x
  3. Step 3: Cross multiply
    68,692x = 145,808 × 145,808
  4. Step 4: Simplify right side
    68,692x = 21,259,972,864
  5. Step 5: Solve for x
    x = 21,259,972,864/68,692
  6. Step 6: Final answer
    x = 309,497.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.