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Finding the Third Proportional to 73,095.75 and 159,394.50

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Solution

The third proportional to 73,095.75 and 159,394.50 is: 347,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,095.75 : 159,394.50 = 159,394.50 : x
  2. Step 2: Convert to fraction form
    73,095.75/159,394.50 = 159,394.50/x
  3. Step 3: Cross multiply
    73,095.75x = 159,394.50 × 159,394.50
  4. Step 4: Simplify right side
    73,095.75x = 25,406,606,630.25
  5. Step 5: Solve for x
    x = 25,406,606,630.25/73,095.75
  6. Step 6: Final answer
    x = 347,579.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.