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Finding the Third Proportional to 100,063.25 and 152,158

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Solution

The third proportional to 100,063.25 and 152,158 is: 231,374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,063.25 : 152,158 = 152,158 : x
  2. Step 2: Convert to fraction form
    100,063.25/152,158 = 152,158/x
  3. Step 3: Cross multiply
    100,063.25x = 152,158 × 152,158
  4. Step 4: Simplify right side
    100,063.25x = 23,152,056,964
  5. Step 5: Solve for x
    x = 23,152,056,964/100,063.25
  6. Step 6: Final answer
    x = 231,374.23

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.