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Finding the Third Proportional to 101,560 and 151,890

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Solution

The third proportional to 101,560 and 151,890 is: 227,161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,560 : 151,890 = 151,890 : x
  2. Step 2: Convert to fraction form
    101,560/151,890 = 151,890/x
  3. Step 3: Cross multiply
    101,560x = 151,890 × 151,890
  4. Step 4: Simplify right side
    101,560x = 23,070,572,100
  5. Step 5: Solve for x
    x = 23,070,572,100/101,560
  6. Step 6: Final answer
    x = 227,161.99

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