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Finding the Third Proportional to 64,255.13 and 139,236.38

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Solution

The third proportional to 64,255.13 and 139,236.38 is: 301,715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,255.13 : 139,236.38 = 139,236.38 : x
  2. Step 2: Convert to fraction form
    64,255.13/139,236.38 = 139,236.38/x
  3. Step 3: Cross multiply
    64,255.13x = 139,236.38 × 139,236.38
  4. Step 4: Simplify right side
    64,255.13x = 19,386,768,123.14
  5. Step 5: Solve for x
    x = 19,386,768,123.14/64,255.13
  6. Step 6: Final answer
    x = 301,715.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.