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Finding the Third Proportional to 100,027.50 and 236,124

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Solution

The third proportional to 100,027.50 and 236,124 is: 557,392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,027.50 : 236,124 = 236,124 : x
  2. Step 2: Convert to fraction form
    100,027.50/236,124 = 236,124/x
  3. Step 3: Cross multiply
    100,027.50x = 236,124 × 236,124
  4. Step 4: Simplify right side
    100,027.50x = 55,754,543,376
  5. Step 5: Solve for x
    x = 55,754,543,376/100,027.50
  6. Step 6: Final answer
    x = 557,392.15

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.