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Finding the Third Proportional to 73,215 and 111,369

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Solution

The third proportional to 73,215 and 111,369 is: 169,405.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,215 : 111,369 = 111,369 : x
  2. Step 2: Convert to fraction form
    73,215/111,369 = 111,369/x
  3. Step 3: Cross multiply
    73,215x = 111,369 × 111,369
  4. Step 4: Simplify right side
    73,215x = 12,403,054,161
  5. Step 5: Solve for x
    x = 12,403,054,161/73,215
  6. Step 6: Final answer
    x = 169,405.92

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.