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Finding the Third Proportional to 72,857.25 and 115,849.88

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Solution

The third proportional to 72,857.25 and 115,849.88 is: 184,212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,857.25 : 115,849.88 = 115,849.88 : x
  2. Step 2: Convert to fraction form
    72,857.25/115,849.88 = 115,849.88/x
  3. Step 3: Cross multiply
    72,857.25x = 115,849.88 × 115,849.88
  4. Step 4: Simplify right side
    72,857.25x = 13,421,193,537.52
  5. Step 5: Solve for x
    x = 13,421,193,537.52/72,857.25
  6. Step 6: Final answer
    x = 184,212.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.