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Finding the Third Proportional to 90,841.66 and 136,723.81

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Solution

The third proportional to 90,841.66 and 136,723.81 is: 205,780.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,841.66 : 136,723.81 = 136,723.81 : x
  2. Step 2: Convert to fraction form
    90,841.66/136,723.81 = 136,723.81/x
  3. Step 3: Cross multiply
    90,841.66x = 136,723.81 × 136,723.81
  4. Step 4: Simplify right side
    90,841.66x = 18,693,399,569.34
  5. Step 5: Solve for x
    x = 18,693,399,569.34/90,841.66
  6. Step 6: Final answer
    x = 205,780.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.