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Finding the Third Proportional to 68,046 and 139,548

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Solution

The third proportional to 68,046 and 139,548 is: 286,183.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,046 : 139,548 = 139,548 : x
  2. Step 2: Convert to fraction form
    68,046/139,548 = 139,548/x
  3. Step 3: Cross multiply
    68,046x = 139,548 × 139,548
  4. Step 4: Simplify right side
    68,046x = 19,473,644,304
  5. Step 5: Solve for x
    x = 19,473,644,304/68,046
  6. Step 6: Final answer
    x = 286,183.53

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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.