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Finding the Third Proportional to 65,862 and 139,562

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Solution

The third proportional to 65,862 and 139,562 is: 295,732.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,862 : 139,562 = 139,562 : x
  2. Step 2: Convert to fraction form
    65,862/139,562 = 139,562/x
  3. Step 3: Cross multiply
    65,862x = 139,562 × 139,562
  4. Step 4: Simplify right side
    65,862x = 19,477,551,844
  5. Step 5: Solve for x
    x = 19,477,551,844/65,862
  6. Step 6: Final answer
    x = 295,732.77

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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.