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Finding the Third Proportional to 112,947 and 245,571

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Solution

The third proportional to 112,947 and 245,571 is: 533,924.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,947 : 245,571 = 245,571 : x
  2. Step 2: Convert to fraction form
    112,947/245,571 = 245,571/x
  3. Step 3: Cross multiply
    112,947x = 245,571 × 245,571
  4. Step 4: Simplify right side
    112,947x = 60,305,116,041
  5. Step 5: Solve for x
    x = 60,305,116,041/112,947
  6. Step 6: Final answer
    x = 533,924.02

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Why These Related Problems?

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