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Finding the Third Proportional to 100,460 and 151,991

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Solution

The third proportional to 100,460 and 151,991 is: 229,954.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,460 : 151,991 = 151,991 : x
  2. Step 2: Convert to fraction form
    100,460/151,991 = 151,991/x
  3. Step 3: Cross multiply
    100,460x = 151,991 × 151,991
  4. Step 4: Simplify right side
    100,460x = 23,101,264,081
  5. Step 5: Solve for x
    x = 23,101,264,081/100,460
  6. Step 6: Final answer
    x = 229,954.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.