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Finding the Third Proportional to 72,561 and 150,244.50

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Solution

The third proportional to 72,561 and 150,244.50 is: 311,095.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,561 : 150,244.50 = 150,244.50 : x
  2. Step 2: Convert to fraction form
    72,561/150,244.50 = 150,244.50/x
  3. Step 3: Cross multiply
    72,561x = 150,244.50 × 150,244.50
  4. Step 4: Simplify right side
    72,561x = 22,573,409,780.25
  5. Step 5: Solve for x
    x = 22,573,409,780.25/72,561
  6. Step 6: Final answer
    x = 311,095.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.