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Finding the Third Proportional to 105,045 and 151,006

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Solution

The third proportional to 105,045 and 151,006 is: 217,076.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,045 : 151,006 = 151,006 : x
  2. Step 2: Convert to fraction form
    105,045/151,006 = 151,006/x
  3. Step 3: Cross multiply
    105,045x = 151,006 × 151,006
  4. Step 4: Simplify right side
    105,045x = 22,802,812,036
  5. Step 5: Solve for x
    x = 22,802,812,036/105,045
  6. Step 6: Final answer
    x = 217,076.61

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.