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Finding the Third Proportional to 65,244.25 and 139,034.25

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Solution

The third proportional to 65,244.25 and 139,034.25 is: 296,279.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,244.25 : 139,034.25 = 139,034.25 : x
  2. Step 2: Convert to fraction form
    65,244.25/139,034.25 = 139,034.25/x
  3. Step 3: Cross multiply
    65,244.25x = 139,034.25 × 139,034.25
  4. Step 4: Simplify right side
    65,244.25x = 19,330,522,673.06
  5. Step 5: Solve for x
    x = 19,330,522,673.06/65,244.25
  6. Step 6: Final answer
    x = 296,279.33

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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.