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Finding the Third Proportional to 57,945.06 and 120,331.51

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Solution

The third proportional to 57,945.06 and 120,331.51 is: 249,886.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,945.06 : 120,331.51 = 120,331.51 : x
  2. Step 2: Convert to fraction form
    57,945.06/120,331.51 = 120,331.51/x
  3. Step 3: Cross multiply
    57,945.06x = 120,331.51 × 120,331.51
  4. Step 4: Simplify right side
    57,945.06x = 14,479,672,712.52
  5. Step 5: Solve for x
    x = 14,479,672,712.52/57,945.06
  6. Step 6: Final answer
    x = 249,886.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.