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Finding the Third Proportional to 104,429.25 and 152,178.75

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Solution

The third proportional to 104,429.25 and 152,178.75 is: 221,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,429.25 : 152,178.75 = 152,178.75 : x
  2. Step 2: Convert to fraction form
    104,429.25/152,178.75 = 152,178.75/x
  3. Step 3: Cross multiply
    104,429.25x = 152,178.75 × 152,178.75
  4. Step 4: Simplify right side
    104,429.25x = 23,158,371,951.56
  5. Step 5: Solve for x
    x = 23,158,371,951.56/104,429.25
  6. Step 6: Final answer
    x = 221,761.35

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.