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Finding the Third Proportional to 134,959.50 and 201,696.75

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Solution

The third proportional to 134,959.50 and 201,696.75 is: 301,435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,959.50 : 201,696.75 = 201,696.75 : x
  2. Step 2: Convert to fraction form
    134,959.50/201,696.75 = 201,696.75/x
  3. Step 3: Cross multiply
    134,959.50x = 201,696.75 × 201,696.75
  4. Step 4: Simplify right side
    134,959.50x = 40,681,578,960.56
  5. Step 5: Solve for x
    x = 40,681,578,960.56/134,959.50
  6. Step 6: Final answer
    x = 301,435.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.