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Finding the Third Proportional to 90,730 and 136,185

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Solution

The third proportional to 90,730 and 136,185 is: 204,412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,730 : 136,185 = 136,185 : x
  2. Step 2: Convert to fraction form
    90,730/136,185 = 136,185/x
  3. Step 3: Cross multiply
    90,730x = 136,185 × 136,185
  4. Step 4: Simplify right side
    90,730x = 18,546,354,225
  5. Step 5: Solve for x
    x = 18,546,354,225/90,730
  6. Step 6: Final answer
    x = 204,412.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.