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Finding the Third Proportional to 73,084 and 157,826

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Solution

The third proportional to 73,084 and 157,826 is: 340,827.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,084 : 157,826 = 157,826 : x
  2. Step 2: Convert to fraction form
    73,084/157,826 = 157,826/x
  3. Step 3: Cross multiply
    73,084x = 157,826 × 157,826
  4. Step 4: Simplify right side
    73,084x = 24,909,046,276
  5. Step 5: Solve for x
    x = 24,909,046,276/73,084
  6. Step 6: Final answer
    x = 340,827.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.