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Finding the Third Proportional to 65,268 and 139,074

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Solution

The third proportional to 65,268 and 139,074 is: 296,340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,268 : 139,074 = 139,074 : x
  2. Step 2: Convert to fraction form
    65,268/139,074 = 139,074/x
  3. Step 3: Cross multiply
    65,268x = 139,074 × 139,074
  4. Step 4: Simplify right side
    65,268x = 19,341,577,476
  5. Step 5: Solve for x
    x = 19,341,577,476/65,268
  6. Step 6: Final answer
    x = 296,340.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.