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Finding the Third Proportional to 59,959 and 128,226

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Solution

The third proportional to 59,959 and 128,226 is: 274,219.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,959 : 128,226 = 128,226 : x
  2. Step 2: Convert to fraction form
    59,959/128,226 = 128,226/x
  3. Step 3: Cross multiply
    59,959x = 128,226 × 128,226
  4. Step 4: Simplify right side
    59,959x = 16,441,907,076
  5. Step 5: Solve for x
    x = 16,441,907,076/59,959
  6. Step 6: Final answer
    x = 274,219.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.