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Finding the Third Proportional to 90,265 and 135,202

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Solution

The third proportional to 90,265 and 135,202 is: 202,510.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,265 : 135,202 = 135,202 : x
  2. Step 2: Convert to fraction form
    90,265/135,202 = 135,202/x
  3. Step 3: Cross multiply
    90,265x = 135,202 × 135,202
  4. Step 4: Simplify right side
    90,265x = 18,279,580,804
  5. Step 5: Solve for x
    x = 18,279,580,804/90,265
  6. Step 6: Final answer
    x = 202,510.17

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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.