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Finding the Third Proportional to 109,230 and 146,784

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Solution

The third proportional to 109,230 and 146,784 is: 197,249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,230 : 146,784 = 146,784 : x
  2. Step 2: Convert to fraction form
    109,230/146,784 = 146,784/x
  3. Step 3: Cross multiply
    109,230x = 146,784 × 146,784
  4. Step 4: Simplify right side
    109,230x = 21,545,542,656
  5. Step 5: Solve for x
    x = 21,545,542,656/109,230
  6. Step 6: Final answer
    x = 197,249.31

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.