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Finding the Third Proportional to 42,594 and 92,622

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Solution

The third proportional to 42,594 and 92,622 is: 201,409.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,594 : 92,622 = 92,622 : x
  2. Step 2: Convert to fraction form
    42,594/92,622 = 92,622/x
  3. Step 3: Cross multiply
    42,594x = 92,622 × 92,622
  4. Step 4: Simplify right side
    42,594x = 8,578,834,884
  5. Step 5: Solve for x
    x = 8,578,834,884/42,594
  6. Step 6: Final answer
    x = 201,409.47

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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.