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Finding the Third Proportional to 94,135.50 and 146,760.75

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Solution

The third proportional to 94,135.50 and 146,760.75 is: 228,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,135.50 : 146,760.75 = 146,760.75 : x
  2. Step 2: Convert to fraction form
    94,135.50/146,760.75 = 146,760.75/x
  3. Step 3: Cross multiply
    94,135.50x = 146,760.75 × 146,760.75
  4. Step 4: Simplify right side
    94,135.50x = 21,538,717,740.56
  5. Step 5: Solve for x
    x = 21,538,717,740.56/94,135.50
  6. Step 6: Final answer
    x = 228,805.47

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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.