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Finding the Third Proportional to 64,745.02 and 140,561.74

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Solution

The third proportional to 64,745.02 and 140,561.74 is: 305,160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,745.02 : 140,561.74 = 140,561.74 : x
  2. Step 2: Convert to fraction form
    64,745.02/140,561.74 = 140,561.74/x
  3. Step 3: Cross multiply
    64,745.02x = 140,561.74 × 140,561.74
  4. Step 4: Simplify right side
    64,745.02x = 19,757,601,719.58
  5. Step 5: Solve for x
    x = 19,757,601,719.58/64,745.02
  6. Step 6: Final answer
    x = 305,160.16

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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.