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Finding the Third Proportional to 100,460 and 151,985

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Solution

The third proportional to 100,460 and 151,985 is: 229,936.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,460 : 151,985 = 151,985 : x
  2. Step 2: Convert to fraction form
    100,460/151,985 = 151,985/x
  3. Step 3: Cross multiply
    100,460x = 151,985 × 151,985
  4. Step 4: Simplify right side
    100,460x = 23,099,440,225
  5. Step 5: Solve for x
    x = 23,099,440,225/100,460
  6. Step 6: Final answer
    x = 229,936.69

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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.