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Finding the Third Proportional to 100,010 and 154,815

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Solution

The third proportional to 100,010 and 154,815 is: 239,652.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,010 : 154,815 = 154,815 : x
  2. Step 2: Convert to fraction form
    100,010/154,815 = 154,815/x
  3. Step 3: Cross multiply
    100,010x = 154,815 × 154,815
  4. Step 4: Simplify right side
    100,010x = 23,967,684,225
  5. Step 5: Solve for x
    x = 23,967,684,225/100,010
  6. Step 6: Final answer
    x = 239,652.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.