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Finding the Third Proportional to 73,095.50 and 157,470.50

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Solution

The third proportional to 73,095.50 and 157,470.50 is: 339,240.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,095.50 : 157,470.50 = 157,470.50 : x
  2. Step 2: Convert to fraction form
    73,095.50/157,470.50 = 157,470.50/x
  3. Step 3: Cross multiply
    73,095.50x = 157,470.50 × 157,470.50
  4. Step 4: Simplify right side
    73,095.50x = 24,796,958,370.25
  5. Step 5: Solve for x
    x = 24,796,958,370.25/73,095.50
  6. Step 6: Final answer
    x = 339,240.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.