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Finding the Third Proportional to 90,733.50 and 136,191

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Solution

The third proportional to 90,733.50 and 136,191 is: 204,422.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,733.50 : 136,191 = 136,191 : x
  2. Step 2: Convert to fraction form
    90,733.50/136,191 = 136,191/x
  3. Step 3: Cross multiply
    90,733.50x = 136,191 × 136,191
  4. Step 4: Simplify right side
    90,733.50x = 18,547,988,481
  5. Step 5: Solve for x
    x = 18,547,988,481/90,733.50
  6. Step 6: Final answer
    x = 204,422.72

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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.