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Finding the Third Proportional to 101,192 and 152,114

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Solution

The third proportional to 101,192 and 152,114 is: 228,661.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,192 : 152,114 = 152,114 : x
  2. Step 2: Convert to fraction form
    101,192/152,114 = 152,114/x
  3. Step 3: Cross multiply
    101,192x = 152,114 × 152,114
  4. Step 4: Simplify right side
    101,192x = 23,138,668,996
  5. Step 5: Solve for x
    x = 23,138,668,996/101,192
  6. Step 6: Final answer
    x = 228,661.05

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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.