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Finding the Third Proportional to 135,955.13 and 204,756.19

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Solution

The third proportional to 135,955.13 and 204,756.19 is: 308,374.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,955.13 : 204,756.19 = 204,756.19 : x
  2. Step 2: Convert to fraction form
    135,955.13/204,756.19 = 204,756.19/x
  3. Step 3: Cross multiply
    135,955.13x = 204,756.19 × 204,756.19
  4. Step 4: Simplify right side
    135,955.13x = 41,925,096,319.54
  5. Step 5: Solve for x
    x = 41,925,096,319.54/135,955.13
  6. Step 6: Final answer
    x = 308,374.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.