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Finding the Third Proportional to 106,448 and 148,006

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Solution

The third proportional to 106,448 and 148,006 is: 205,788.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,448 : 148,006 = 148,006 : x
  2. Step 2: Convert to fraction form
    106,448/148,006 = 148,006/x
  3. Step 3: Cross multiply
    106,448x = 148,006 × 148,006
  4. Step 4: Simplify right side
    106,448x = 21,905,776,036
  5. Step 5: Solve for x
    x = 21,905,776,036/106,448
  6. Step 6: Final answer
    x = 205,788.52

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.