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Finding the Third Proportional to 91,266 and 136,138.50

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Solution

The third proportional to 91,266 and 136,138.50 is: 203,073.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,266 : 136,138.50 = 136,138.50 : x
  2. Step 2: Convert to fraction form
    91,266/136,138.50 = 136,138.50/x
  3. Step 3: Cross multiply
    91,266x = 136,138.50 × 136,138.50
  4. Step 4: Simplify right side
    91,266x = 18,533,691,182.25
  5. Step 5: Solve for x
    x = 18,533,691,182.25/91,266
  6. Step 6: Final answer
    x = 203,073.34

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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.