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Finding the Third Proportional to 89,282.25 and 135,075.38

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Solution

The third proportional to 89,282.25 and 135,075.38 is: 204,355.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,282.25 : 135,075.38 = 135,075.38 : x
  2. Step 2: Convert to fraction form
    89,282.25/135,075.38 = 135,075.38/x
  3. Step 3: Cross multiply
    89,282.25x = 135,075.38 × 135,075.38
  4. Step 4: Simplify right side
    89,282.25x = 18,245,356,931.39
  5. Step 5: Solve for x
    x = 18,245,356,931.39/89,282.25
  6. Step 6: Final answer
    x = 204,355.93

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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.