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Finding the Third Proportional to 59,171 and 128,710

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Solution

The third proportional to 59,171 and 128,710 is: 279,972.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,171 : 128,710 = 128,710 : x
  2. Step 2: Convert to fraction form
    59,171/128,710 = 128,710/x
  3. Step 3: Cross multiply
    59,171x = 128,710 × 128,710
  4. Step 4: Simplify right side
    59,171x = 16,566,264,100
  5. Step 5: Solve for x
    x = 16,566,264,100/59,171
  6. Step 6: Final answer
    x = 279,972.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.