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Finding the Third Proportional to 104,799 and 148,144.50

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Solution

The third proportional to 104,799 and 148,144.50 is: 209,417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,799 : 148,144.50 = 148,144.50 : x
  2. Step 2: Convert to fraction form
    104,799/148,144.50 = 148,144.50/x
  3. Step 3: Cross multiply
    104,799x = 148,144.50 × 148,144.50
  4. Step 4: Simplify right side
    104,799x = 21,946,792,880.25
  5. Step 5: Solve for x
    x = 21,946,792,880.25/104,799
  6. Step 6: Final answer
    x = 209,417.96

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.