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Finding the Third Proportional to 73,095.75 and 157,491

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Solution

The third proportional to 73,095.75 and 157,491 is: 339,327.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,095.75 : 157,491 = 157,491 : x
  2. Step 2: Convert to fraction form
    73,095.75/157,491 = 157,491/x
  3. Step 3: Cross multiply
    73,095.75x = 157,491 × 157,491
  4. Step 4: Simplify right side
    73,095.75x = 24,803,415,081
  5. Step 5: Solve for x
    x = 24,803,415,081/73,095.75
  6. Step 6: Final answer
    x = 339,327.73

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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.