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Finding the Third Proportional to 91,093 and 137,910

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Solution

The third proportional to 91,093 and 137,910 is: 208,788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,093 : 137,910 = 137,910 : x
  2. Step 2: Convert to fraction form
    91,093/137,910 = 137,910/x
  3. Step 3: Cross multiply
    91,093x = 137,910 × 137,910
  4. Step 4: Simplify right side
    91,093x = 19,019,168,100
  5. Step 5: Solve for x
    x = 19,019,168,100/91,093
  6. Step 6: Final answer
    x = 208,788.47

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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.