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Finding the Third Proportional to 91,703 and 136,690

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Solution

The third proportional to 91,703 and 136,690 is: 203,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,703 : 136,690 = 136,690 : x
  2. Step 2: Convert to fraction form
    91,703/136,690 = 136,690/x
  3. Step 3: Cross multiply
    91,703x = 136,690 × 136,690
  4. Step 4: Simplify right side
    91,703x = 18,684,156,100
  5. Step 5: Solve for x
    x = 18,684,156,100/91,703
  6. Step 6: Final answer
    x = 203,746.40

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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.