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Finding the Third Proportional to 72,478.41 and 146,904.28

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Solution

The third proportional to 72,478.41 and 146,904.28 is: 297,755.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,478.41 : 146,904.28 = 146,904.28 : x
  2. Step 2: Convert to fraction form
    72,478.41/146,904.28 = 146,904.28/x
  3. Step 3: Cross multiply
    72,478.41x = 146,904.28 × 146,904.28
  4. Step 4: Simplify right side
    72,478.41x = 21,580,867,849.58
  5. Step 5: Solve for x
    x = 21,580,867,849.58/72,478.41
  6. Step 6: Final answer
    x = 297,755.83

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.