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Finding the Third Proportional to 103,856 and 148,008

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Solution

The third proportional to 103,856 and 148,008 is: 210,930.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,856 : 148,008 = 148,008 : x
  2. Step 2: Convert to fraction form
    103,856/148,008 = 148,008/x
  3. Step 3: Cross multiply
    103,856x = 148,008 × 148,008
  4. Step 4: Simplify right side
    103,856x = 21,906,368,064
  5. Step 5: Solve for x
    x = 21,906,368,064/103,856
  6. Step 6: Final answer
    x = 210,930.21

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.