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Finding the Third Proportional to 67,046 and 139,654

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Solution

The third proportional to 67,046 and 139,654 is: 290,893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,046 : 139,654 = 139,654 : x
  2. Step 2: Convert to fraction form
    67,046/139,654 = 139,654/x
  3. Step 3: Cross multiply
    67,046x = 139,654 × 139,654
  4. Step 4: Simplify right side
    67,046x = 19,503,239,716
  5. Step 5: Solve for x
    x = 19,503,239,716/67,046
  6. Step 6: Final answer
    x = 290,893.41

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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.