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Finding the Third Proportional to 94,005 and 146,724.75

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Solution

The third proportional to 94,005 and 146,724.75 is: 229,010.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,005 : 146,724.75 = 146,724.75 : x
  2. Step 2: Convert to fraction form
    94,005/146,724.75 = 146,724.75/x
  3. Step 3: Cross multiply
    94,005x = 146,724.75 × 146,724.75
  4. Step 4: Simplify right side
    94,005x = 21,528,152,262.56
  5. Step 5: Solve for x
    x = 21,528,152,262.56/94,005
  6. Step 6: Final answer
    x = 229,010.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.