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Finding the Third Proportional to 45,334 and 70,369

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Solution

The third proportional to 45,334 and 70,369 is: 109,229.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,334 : 70,369 = 70,369 : x
  2. Step 2: Convert to fraction form
    45,334/70,369 = 70,369/x
  3. Step 3: Cross multiply
    45,334x = 70,369 × 70,369
  4. Step 4: Simplify right side
    45,334x = 4,951,796,161
  5. Step 5: Solve for x
    x = 4,951,796,161/45,334
  6. Step 6: Final answer
    x = 109,229.19

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Why These Related Problems?

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