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Finding the Third Proportional to 45,332 and 70,366

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Solution

The third proportional to 45,332 and 70,366 is: 109,224.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,332 : 70,366 = 70,366 : x
  2. Step 2: Convert to fraction form
    45,332/70,366 = 70,366/x
  3. Step 3: Cross multiply
    45,332x = 70,366 × 70,366
  4. Step 4: Simplify right side
    45,332x = 4,951,373,956
  5. Step 5: Solve for x
    x = 4,951,373,956/45,332
  6. Step 6: Final answer
    x = 109,224.70

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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.