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Finding the Third Proportional to 91,018 and 135,824

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Solution

The third proportional to 91,018 and 135,824 is: 202,686.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,018 : 135,824 = 135,824 : x
  2. Step 2: Convert to fraction form
    91,018/135,824 = 135,824/x
  3. Step 3: Cross multiply
    91,018x = 135,824 × 135,824
  4. Step 4: Simplify right side
    91,018x = 18,448,158,976
  5. Step 5: Solve for x
    x = 18,448,158,976/91,018
  6. Step 6: Final answer
    x = 202,686.93

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Why These Related Problems?

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