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Finding the Third Proportional to 59,051 and 127,944

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Solution

The third proportional to 59,051 and 127,944 is: 277,212.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,051 : 127,944 = 127,944 : x
  2. Step 2: Convert to fraction form
    59,051/127,944 = 127,944/x
  3. Step 3: Cross multiply
    59,051x = 127,944 × 127,944
  4. Step 4: Simplify right side
    59,051x = 16,369,667,136
  5. Step 5: Solve for x
    x = 16,369,667,136/59,051
  6. Step 6: Final answer
    x = 277,212.36

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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.