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Finding the Third Proportional to 136,586.25 and 207,339.75

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Solution

The third proportional to 136,586.25 and 207,339.75 is: 314,744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,586.25 : 207,339.75 = 207,339.75 : x
  2. Step 2: Convert to fraction form
    136,586.25/207,339.75 = 207,339.75/x
  3. Step 3: Cross multiply
    136,586.25x = 207,339.75 × 207,339.75
  4. Step 4: Simplify right side
    136,586.25x = 42,989,771,930.06
  5. Step 5: Solve for x
    x = 42,989,771,930.06/136,586.25
  6. Step 6: Final answer
    x = 314,744.51

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.