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Finding the Third Proportional to 64,966 and 139,602

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Solution

The third proportional to 64,966 and 139,602 is: 299,983.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,966 : 139,602 = 139,602 : x
  2. Step 2: Convert to fraction form
    64,966/139,602 = 139,602/x
  3. Step 3: Cross multiply
    64,966x = 139,602 × 139,602
  4. Step 4: Simplify right side
    64,966x = 19,488,718,404
  5. Step 5: Solve for x
    x = 19,488,718,404/64,966
  6. Step 6: Final answer
    x = 299,983.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.