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Finding the Third Proportional to 119,688.75 and 182,020.50

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Solution

The third proportional to 119,688.75 and 182,020.50 is: 276,813.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,688.75 : 182,020.50 = 182,020.50 : x
  2. Step 2: Convert to fraction form
    119,688.75/182,020.50 = 182,020.50/x
  3. Step 3: Cross multiply
    119,688.75x = 182,020.50 × 182,020.50
  4. Step 4: Simplify right side
    119,688.75x = 33,131,462,420.25
  5. Step 5: Solve for x
    x = 33,131,462,420.25/119,688.75
  6. Step 6: Final answer
    x = 276,813.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.