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Finding the Third Proportional to 121,530 and 252,739.50

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Solution

The third proportional to 121,530 and 252,739.50 is: 525,608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,530 : 252,739.50 = 252,739.50 : x
  2. Step 2: Convert to fraction form
    121,530/252,739.50 = 252,739.50/x
  3. Step 3: Cross multiply
    121,530x = 252,739.50 × 252,739.50
  4. Step 4: Simplify right side
    121,530x = 63,877,254,860.25
  5. Step 5: Solve for x
    x = 63,877,254,860.25/121,530
  6. Step 6: Final answer
    x = 525,608.94

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