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Finding the Third Proportional to 83,174.63 and 121,799.25

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Solution

The third proportional to 83,174.63 and 121,799.25 is: 178,360.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,174.63 : 121,799.25 = 121,799.25 : x
  2. Step 2: Convert to fraction form
    83,174.63/121,799.25 = 121,799.25/x
  3. Step 3: Cross multiply
    83,174.63x = 121,799.25 × 121,799.25
  4. Step 4: Simplify right side
    83,174.63x = 14,835,057,300.56
  5. Step 5: Solve for x
    x = 14,835,057,300.56/83,174.63
  6. Step 6: Final answer
    x = 178,360.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.