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Finding the Third Proportional to 119,404.50 and 162,261

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Solution

The third proportional to 119,404.50 and 162,261 is: 220,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,404.50 : 162,261 = 162,261 : x
  2. Step 2: Convert to fraction form
    119,404.50/162,261 = 162,261/x
  3. Step 3: Cross multiply
    119,404.50x = 162,261 × 162,261
  4. Step 4: Simplify right side
    119,404.50x = 26,328,632,121
  5. Step 5: Solve for x
    x = 26,328,632,121/119,404.50
  6. Step 6: Final answer
    x = 220,499.50

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.