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Finding the Third Proportional to 65,777 and 139,752

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Solution

The third proportional to 65,777 and 139,752 is: 296,921.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,777 : 139,752 = 139,752 : x
  2. Step 2: Convert to fraction form
    65,777/139,752 = 139,752/x
  3. Step 3: Cross multiply
    65,777x = 139,752 × 139,752
  4. Step 4: Simplify right side
    65,777x = 19,530,621,504
  5. Step 5: Solve for x
    x = 19,530,621,504/65,777
  6. Step 6: Final answer
    x = 296,921.74

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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.