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Finding the Third Proportional to 100,062 and 152,156

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Solution

The third proportional to 100,062 and 152,156 is: 231,371.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,062 : 152,156 = 152,156 : x
  2. Step 2: Convert to fraction form
    100,062/152,156 = 152,156/x
  3. Step 3: Cross multiply
    100,062x = 152,156 × 152,156
  4. Step 4: Simplify right side
    100,062x = 23,151,448,336
  5. Step 5: Solve for x
    x = 23,151,448,336/100,062
  6. Step 6: Final answer
    x = 231,371.03

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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.