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Finding the Third Proportional to 40,749 and 88,410

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Solution

The third proportional to 40,749 and 88,410 is: 191,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,749 : 88,410 = 88,410 : x
  2. Step 2: Convert to fraction form
    40,749/88,410 = 88,410/x
  3. Step 3: Cross multiply
    40,749x = 88,410 × 88,410
  4. Step 4: Simplify right side
    40,749x = 7,816,328,100
  5. Step 5: Solve for x
    x = 7,816,328,100/40,749
  6. Step 6: Final answer
    x = 191,816.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.