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Finding the Third Proportional to 65,264 and 139,066

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Solution

The third proportional to 65,264 and 139,066 is: 296,324.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,264 : 139,066 = 139,066 : x
  2. Step 2: Convert to fraction form
    65,264/139,066 = 139,066/x
  3. Step 3: Cross multiply
    65,264x = 139,066 × 139,066
  4. Step 4: Simplify right side
    65,264x = 19,339,352,356
  5. Step 5: Solve for x
    x = 19,339,352,356/65,264
  6. Step 6: Final answer
    x = 296,324.96

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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.