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Finding the Third Proportional to 59,018 and 89,021

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Solution

The third proportional to 59,018 and 89,021 is: 134,276.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,018 : 89,021 = 89,021 : x
  2. Step 2: Convert to fraction form
    59,018/89,021 = 89,021/x
  3. Step 3: Cross multiply
    59,018x = 89,021 × 89,021
  4. Step 4: Simplify right side
    59,018x = 7,924,738,441
  5. Step 5: Solve for x
    x = 7,924,738,441/59,018
  6. Step 6: Final answer
    x = 134,276.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.