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Finding the Third Proportional to 91,012 and 135,816

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Solution

The third proportional to 91,012 and 135,816 is: 202,676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,012 : 135,816 = 135,816 : x
  2. Step 2: Convert to fraction form
    91,012/135,816 = 135,816/x
  3. Step 3: Cross multiply
    91,012x = 135,816 × 135,816
  4. Step 4: Simplify right side
    91,012x = 18,445,985,856
  5. Step 5: Solve for x
    x = 18,445,985,856/91,012
  6. Step 6: Final answer
    x = 202,676.41

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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.