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Finding the Third Proportional to 60,591 and 93,003

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Solution

The third proportional to 60,591 and 93,003 is: 142,753.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,591 : 93,003 = 93,003 : x
  2. Step 2: Convert to fraction form
    60,591/93,003 = 93,003/x
  3. Step 3: Cross multiply
    60,591x = 93,003 × 93,003
  4. Step 4: Simplify right side
    60,591x = 8,649,558,009
  5. Step 5: Solve for x
    x = 8,649,558,009/60,591
  6. Step 6: Final answer
    x = 142,753.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.