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Finding the Third Proportional to 59,109 and 128,061

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Solution

The third proportional to 59,109 and 128,061 is: 277,447.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,109 : 128,061 = 128,061 : x
  2. Step 2: Convert to fraction form
    59,109/128,061 = 128,061/x
  3. Step 3: Cross multiply
    59,109x = 128,061 × 128,061
  4. Step 4: Simplify right side
    59,109x = 16,399,619,721
  5. Step 5: Solve for x
    x = 16,399,619,721/59,109
  6. Step 6: Final answer
    x = 277,447.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.