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Finding the Third Proportional to 64,798.88 and 134,769.38

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Solution

The third proportional to 64,798.88 and 134,769.38 is: 280,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,798.88 : 134,769.38 = 134,769.38 : x
  2. Step 2: Convert to fraction form
    64,798.88/134,769.38 = 134,769.38/x
  3. Step 3: Cross multiply
    64,798.88x = 134,769.38 × 134,769.38
  4. Step 4: Simplify right side
    64,798.88x = 18,162,784,437.89
  5. Step 5: Solve for x
    x = 18,162,784,437.89/64,798.88
  6. Step 6: Final answer
    x = 280,294.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.