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Finding the Third Proportional to 72,222 and 115,329

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Solution

The third proportional to 72,222 and 115,329 is: 184,165.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,222 : 115,329 = 115,329 : x
  2. Step 2: Convert to fraction form
    72,222/115,329 = 115,329/x
  3. Step 3: Cross multiply
    72,222x = 115,329 × 115,329
  4. Step 4: Simplify right side
    72,222x = 13,300,778,241
  5. Step 5: Solve for x
    x = 13,300,778,241/72,222
  6. Step 6: Final answer
    x = 184,165.19

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.