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Finding the Third Proportional to 101,808 and 152,724

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Solution

The third proportional to 101,808 and 152,724 is: 229,104.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,808 : 152,724 = 152,724 : x
  2. Step 2: Convert to fraction form
    101,808/152,724 = 152,724/x
  3. Step 3: Cross multiply
    101,808x = 152,724 × 152,724
  4. Step 4: Simplify right side
    101,808x = 23,324,620,176
  5. Step 5: Solve for x
    x = 23,324,620,176/101,808
  6. Step 6: Final answer
    x = 229,104.00

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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.