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Finding the Third Proportional to 65,826 and 139,497

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Solution

The third proportional to 65,826 and 139,497 is: 295,618.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,826 : 139,497 = 139,497 : x
  2. Step 2: Convert to fraction form
    65,826/139,497 = 139,497/x
  3. Step 3: Cross multiply
    65,826x = 139,497 × 139,497
  4. Step 4: Simplify right side
    65,826x = 19,459,413,009
  5. Step 5: Solve for x
    x = 19,459,413,009/65,826
  6. Step 6: Final answer
    x = 295,618.95

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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.