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Finding the Third Proportional to 67,043 and 139,648

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Solution

The third proportional to 67,043 and 139,648 is: 290,881.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,043 : 139,648 = 139,648 : x
  2. Step 2: Convert to fraction form
    67,043/139,648 = 139,648/x
  3. Step 3: Cross multiply
    67,043x = 139,648 × 139,648
  4. Step 4: Simplify right side
    67,043x = 19,501,563,904
  5. Step 5: Solve for x
    x = 19,501,563,904/67,043
  6. Step 6: Final answer
    x = 290,881.43

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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.