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Finding the Third Proportional to 73,281.59 and 160,590.73

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Solution

The third proportional to 73,281.59 and 160,590.73 is: 351,921.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,281.59 : 160,590.73 = 160,590.73 : x
  2. Step 2: Convert to fraction form
    73,281.59/160,590.73 = 160,590.73/x
  3. Step 3: Cross multiply
    73,281.59x = 160,590.73 × 160,590.73
  4. Step 4: Simplify right side
    73,281.59x = 25,789,381,457.87
  5. Step 5: Solve for x
    x = 25,789,381,457.87/73,281.59
  6. Step 6: Final answer
    x = 351,921.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.