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Finding the Third Proportional to 59,340 and 89,021

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Solution

The third proportional to 59,340 and 89,021 is: 133,548.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,340 : 89,021 = 89,021 : x
  2. Step 2: Convert to fraction form
    59,340/89,021 = 89,021/x
  3. Step 3: Cross multiply
    59,340x = 89,021 × 89,021
  4. Step 4: Simplify right side
    59,340x = 7,924,738,441
  5. Step 5: Solve for x
    x = 7,924,738,441/59,340
  6. Step 6: Final answer
    x = 133,548.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.