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Finding the Third Proportional to 64,437.19 and 141,576.75

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Solution

The third proportional to 64,437.19 and 141,576.75 is: 311,062.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,437.19 : 141,576.75 = 141,576.75 : x
  2. Step 2: Convert to fraction form
    64,437.19/141,576.75 = 141,576.75/x
  3. Step 3: Cross multiply
    64,437.19x = 141,576.75 × 141,576.75
  4. Step 4: Simplify right side
    64,437.19x = 20,043,976,140.56
  5. Step 5: Solve for x
    x = 20,043,976,140.56/64,437.19
  6. Step 6: Final answer
    x = 311,062.24

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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.