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Finding the Third Proportional to 148,792 and 208,112

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Solution

The third proportional to 148,792 and 208,112 is: 291,081.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,792 : 208,112 = 208,112 : x
  2. Step 2: Convert to fraction form
    148,792/208,112 = 208,112/x
  3. Step 3: Cross multiply
    148,792x = 208,112 × 208,112
  4. Step 4: Simplify right side
    148,792x = 43,310,604,544
  5. Step 5: Solve for x
    x = 43,310,604,544/148,792
  6. Step 6: Final answer
    x = 291,081.54

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.