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Finding the Third Proportional to 59,121 and 136,725.75

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Solution

The third proportional to 59,121 and 136,725.75 is: 316,197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,121 : 136,725.75 = 136,725.75 : x
  2. Step 2: Convert to fraction form
    59,121/136,725.75 = 136,725.75/x
  3. Step 3: Cross multiply
    59,121x = 136,725.75 × 136,725.75
  4. Step 4: Simplify right side
    59,121x = 18,693,930,713.06
  5. Step 5: Solve for x
    x = 18,693,930,713.06/59,121
  6. Step 6: Final answer
    x = 316,197.81

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.