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Finding the Third Proportional to 64,506.38 and 141,729.75

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Solution

The third proportional to 64,506.38 and 141,729.75 is: 311,400.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,506.38 : 141,729.75 = 141,729.75 : x
  2. Step 2: Convert to fraction form
    64,506.38/141,729.75 = 141,729.75/x
  3. Step 3: Cross multiply
    64,506.38x = 141,729.75 × 141,729.75
  4. Step 4: Simplify right side
    64,506.38x = 20,087,322,035.06
  5. Step 5: Solve for x
    x = 20,087,322,035.06/64,506.38
  6. Step 6: Final answer
    x = 311,400.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.