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Finding the Third Proportional to 134,758.69 and 202,140.56

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Solution

The third proportional to 134,758.69 and 202,140.56 is: 303,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,758.69 : 202,140.56 = 202,140.56 : x
  2. Step 2: Convert to fraction form
    134,758.69/202,140.56 = 202,140.56/x
  3. Step 3: Cross multiply
    134,758.69x = 202,140.56 × 202,140.56
  4. Step 4: Simplify right side
    134,758.69x = 40,860,807,007.82
  5. Step 5: Solve for x
    x = 40,860,807,007.82/134,758.69
  6. Step 6: Final answer
    x = 303,214.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.