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Finding the Third Proportional to 92,745 and 133,974

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Solution

The third proportional to 92,745 and 133,974 is: 193,531.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,745 : 133,974 = 133,974 : x
  2. Step 2: Convert to fraction form
    92,745/133,974 = 133,974/x
  3. Step 3: Cross multiply
    92,745x = 133,974 × 133,974
  4. Step 4: Simplify right side
    92,745x = 17,949,032,676
  5. Step 5: Solve for x
    x = 17,949,032,676/92,745
  6. Step 6: Final answer
    x = 193,531.00

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.