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Finding the Third Proportional to 101,211.75 and 154,498.50

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Solution

The third proportional to 101,211.75 and 154,498.50 is: 235,840.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,211.75 : 154,498.50 = 154,498.50 : x
  2. Step 2: Convert to fraction form
    101,211.75/154,498.50 = 154,498.50/x
  3. Step 3: Cross multiply
    101,211.75x = 154,498.50 × 154,498.50
  4. Step 4: Simplify right side
    101,211.75x = 23,869,786,502.25
  5. Step 5: Solve for x
    x = 23,869,786,502.25/101,211.75
  6. Step 6: Final answer
    x = 235,840.07

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.