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Finding the Third Proportional to 103,212.75 and 152,904

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Solution

The third proportional to 103,212.75 and 152,904 is: 226,518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,212.75 : 152,904 = 152,904 : x
  2. Step 2: Convert to fraction form
    103,212.75/152,904 = 152,904/x
  3. Step 3: Cross multiply
    103,212.75x = 152,904 × 152,904
  4. Step 4: Simplify right side
    103,212.75x = 23,379,633,216
  5. Step 5: Solve for x
    x = 23,379,633,216/103,212.75
  6. Step 6: Final answer
    x = 226,518.85

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.