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Finding the Third Proportional to 91,014 and 135,818

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Solution

The third proportional to 91,014 and 135,818 is: 202,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,014 : 135,818 = 135,818 : x
  2. Step 2: Convert to fraction form
    91,014/135,818 = 135,818/x
  3. Step 3: Cross multiply
    91,014x = 135,818 × 135,818
  4. Step 4: Simplify right side
    91,014x = 18,446,529,124
  5. Step 5: Solve for x
    x = 18,446,529,124/91,014
  6. Step 6: Final answer
    x = 202,677.93

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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.