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Finding the Third Proportional to 119,730.38 and 159,765.75

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Solution

The third proportional to 119,730.38 and 159,765.75 is: 213,188.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,730.38 : 159,765.75 = 159,765.75 : x
  2. Step 2: Convert to fraction form
    119,730.38/159,765.75 = 159,765.75/x
  3. Step 3: Cross multiply
    119,730.38x = 159,765.75 × 159,765.75
  4. Step 4: Simplify right side
    119,730.38x = 25,525,094,873.06
  5. Step 5: Solve for x
    x = 25,525,094,873.06/119,730.38
  6. Step 6: Final answer
    x = 213,188.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.