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Finding the Third Proportional to 99,600 and 150,232.50

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Solution

The third proportional to 99,600 and 150,232.50 is: 226,604.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,600 : 150,232.50 = 150,232.50 : x
  2. Step 2: Convert to fraction form
    99,600/150,232.50 = 150,232.50/x
  3. Step 3: Cross multiply
    99,600x = 150,232.50 × 150,232.50
  4. Step 4: Simplify right side
    99,600x = 22,569,804,056.25
  5. Step 5: Solve for x
    x = 22,569,804,056.25/99,600
  6. Step 6: Final answer
    x = 226,604.46

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1.5x scale

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.