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Finding the Third Proportional to 57,398.63 and 121,626.56

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Solution

The third proportional to 57,398.63 and 121,626.56 is: 257,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,398.63 : 121,626.56 = 121,626.56 : x
  2. Step 2: Convert to fraction form
    57,398.63/121,626.56 = 121,626.56/x
  3. Step 3: Cross multiply
    57,398.63x = 121,626.56 × 121,626.56
  4. Step 4: Simplify right side
    57,398.63x = 14,793,020,705.57
  5. Step 5: Solve for x
    x = 14,793,020,705.57/57,398.63
  6. Step 6: Final answer
    x = 257,724.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.