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Finding the Third Proportional to 134,713.13 and 202,069.69

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Solution

The third proportional to 134,713.13 and 202,069.69 is: 303,104.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,713.13 : 202,069.69 = 202,069.69 : x
  2. Step 2: Convert to fraction form
    134,713.13/202,069.69 = 202,069.69/x
  3. Step 3: Cross multiply
    134,713.13x = 202,069.69 × 202,069.69
  4. Step 4: Simplify right side
    134,713.13x = 40,832,158,606.35
  5. Step 5: Solve for x
    x = 40,832,158,606.35/134,713.13
  6. Step 6: Final answer
    x = 303,104.53

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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.