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Finding the Third Proportional to 121,666.50 and 179,340.75

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Solution

The third proportional to 121,666.50 and 179,340.75 is: 264,354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,666.50 : 179,340.75 = 179,340.75 : x
  2. Step 2: Convert to fraction form
    121,666.50/179,340.75 = 179,340.75/x
  3. Step 3: Cross multiply
    121,666.50x = 179,340.75 × 179,340.75
  4. Step 4: Simplify right side
    121,666.50x = 32,163,104,610.56
  5. Step 5: Solve for x
    x = 32,163,104,610.56/121,666.50
  6. Step 6: Final answer
    x = 264,354.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.