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Finding the Third Proportional to 72,773.44 and 115,721.16

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Solution

The third proportional to 72,773.44 and 115,721.16 is: 184,014.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,773.44 : 115,721.16 = 115,721.16 : x
  2. Step 2: Convert to fraction form
    72,773.44/115,721.16 = 115,721.16/x
  3. Step 3: Cross multiply
    72,773.44x = 115,721.16 × 115,721.16
  4. Step 4: Simplify right side
    72,773.44x = 13,391,386,003.84
  5. Step 5: Solve for x
    x = 13,391,386,003.84/72,773.44
  6. Step 6: Final answer
    x = 184,014.75

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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.