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Finding the Third Proportional to 137,065.75 and 205,598.25

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Solution

The third proportional to 137,065.75 and 205,598.25 is: 308,396.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,065.75 : 205,598.25 = 205,598.25 : x
  2. Step 2: Convert to fraction form
    137,065.75/205,598.25 = 205,598.25/x
  3. Step 3: Cross multiply
    137,065.75x = 205,598.25 × 205,598.25
  4. Step 4: Simplify right side
    137,065.75x = 42,270,640,403.06
  5. Step 5: Solve for x
    x = 42,270,640,403.06/137,065.75
  6. Step 6: Final answer
    x = 308,396.81

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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.