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Finding the Third Proportional to 91,008 and 137,785

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Solution

The third proportional to 91,008 and 137,785 is: 208,604.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,008 : 137,785 = 137,785 : x
  2. Step 2: Convert to fraction form
    91,008/137,785 = 137,785/x
  3. Step 3: Cross multiply
    91,008x = 137,785 × 137,785
  4. Step 4: Simplify right side
    91,008x = 18,984,706,225
  5. Step 5: Solve for x
    x = 18,984,706,225/91,008
  6. Step 6: Final answer
    x = 208,604.81

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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.