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Finding the Third Proportional to 91,707 and 136,696

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Solution

The third proportional to 91,707 and 136,696 is: 203,755.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,707 : 136,696 = 136,696 : x
  2. Step 2: Convert to fraction form
    91,707/136,696 = 136,696/x
  3. Step 3: Cross multiply
    91,707x = 136,696 × 136,696
  4. Step 4: Simplify right side
    91,707x = 18,685,796,416
  5. Step 5: Solve for x
    x = 18,685,796,416/91,707
  6. Step 6: Final answer
    x = 203,755.40

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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.