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Finding the Third Proportional to 100,251 and 140,152.50

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Solution

The third proportional to 100,251 and 140,152.50 is: 195,935.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,251 : 140,152.50 = 140,152.50 : x
  2. Step 2: Convert to fraction form
    100,251/140,152.50 = 140,152.50/x
  3. Step 3: Cross multiply
    100,251x = 140,152.50 × 140,152.50
  4. Step 4: Simplify right side
    100,251x = 19,642,723,256.25
  5. Step 5: Solve for x
    x = 19,642,723,256.25/100,251
  6. Step 6: Final answer
    x = 195,935.43

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.