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Finding the Third Proportional to 72,857.25 and 157,194

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Solution

The third proportional to 72,857.25 and 157,194 is: 339,155.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,857.25 : 157,194 = 157,194 : x
  2. Step 2: Convert to fraction form
    72,857.25/157,194 = 157,194/x
  3. Step 3: Cross multiply
    72,857.25x = 157,194 × 157,194
  4. Step 4: Simplify right side
    72,857.25x = 24,709,953,636
  5. Step 5: Solve for x
    x = 24,709,953,636/72,857.25
  6. Step 6: Final answer
    x = 339,155.73

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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.