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Finding the Third Proportional to 59,108 and 128,056

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Solution

The third proportional to 59,108 and 128,056 is: 277,430.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,108 : 128,056 = 128,056 : x
  2. Step 2: Convert to fraction form
    59,108/128,056 = 128,056/x
  3. Step 3: Cross multiply
    59,108x = 128,056 × 128,056
  4. Step 4: Simplify right side
    59,108x = 16,398,339,136
  5. Step 5: Solve for x
    x = 16,398,339,136/59,108
  6. Step 6: Final answer
    x = 277,430.11

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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.