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Finding the Third Proportional to 101,192 and 150,967.50

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Solution

The third proportional to 101,192 and 150,967.50 is: 225,227.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,192 : 150,967.50 = 150,967.50 : x
  2. Step 2: Convert to fraction form
    101,192/150,967.50 = 150,967.50/x
  3. Step 3: Cross multiply
    101,192x = 150,967.50 × 150,967.50
  4. Step 4: Simplify right side
    101,192x = 22,791,186,056.25
  5. Step 5: Solve for x
    x = 22,791,186,056.25/101,192
  6. Step 6: Final answer
    x = 225,227.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.