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Finding the Third Proportional to 72,853 and 115,843.50

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Solution

The third proportional to 72,853 and 115,843.50 is: 184,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,853 : 115,843.50 = 115,843.50 : x
  2. Step 2: Convert to fraction form
    72,853/115,843.50 = 115,843.50/x
  3. Step 3: Cross multiply
    72,853x = 115,843.50 × 115,843.50
  4. Step 4: Simplify right side
    72,853x = 13,419,716,492.25
  5. Step 5: Solve for x
    x = 13,419,716,492.25/72,853
  6. Step 6: Final answer
    x = 184,202.66

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