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Finding the Third Proportional to 119,090.25 and 254,790.56

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Solution

The third proportional to 119,090.25 and 254,790.56 is: 545,117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,090.25 : 254,790.56 = 254,790.56 : x
  2. Step 2: Convert to fraction form
    119,090.25/254,790.56 = 254,790.56/x
  3. Step 3: Cross multiply
    119,090.25x = 254,790.56 × 254,790.56
  4. Step 4: Simplify right side
    119,090.25x = 64,918,230,739.07
  5. Step 5: Solve for x
    x = 64,918,230,739.07/119,090.25
  6. Step 6: Final answer
    x = 545,117.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.