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Finding the Third Proportional to 43,594 and 94,410

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Solution

The third proportional to 43,594 and 94,410 is: 204,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,594 : 94,410 = 94,410 : x
  2. Step 2: Convert to fraction form
    43,594/94,410 = 94,410/x
  3. Step 3: Cross multiply
    43,594x = 94,410 × 94,410
  4. Step 4: Simplify right side
    43,594x = 8,913,248,100
  5. Step 5: Solve for x
    x = 8,913,248,100/43,594
  6. Step 6: Final answer
    x = 204,460.43

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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.