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Finding the Third Proportional to 45,392 and 70,449

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Solution

The third proportional to 45,392 and 70,449 is: 109,337.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,392 : 70,449 = 70,449 : x
  2. Step 2: Convert to fraction form
    45,392/70,449 = 70,449/x
  3. Step 3: Cross multiply
    45,392x = 70,449 × 70,449
  4. Step 4: Simplify right side
    45,392x = 4,963,061,601
  5. Step 5: Solve for x
    x = 4,963,061,601/45,392
  6. Step 6: Final answer
    x = 109,337.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.