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Finding the Third Proportional to 124,189.25 and 276,483.25

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Solution

The third proportional to 124,189.25 and 276,483.25 is: 615,536.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,189.25 : 276,483.25 = 276,483.25 : x
  2. Step 2: Convert to fraction form
    124,189.25/276,483.25 = 276,483.25/x
  3. Step 3: Cross multiply
    124,189.25x = 276,483.25 × 276,483.25
  4. Step 4: Simplify right side
    124,189.25x = 76,442,987,530.56
  5. Step 5: Solve for x
    x = 76,442,987,530.56/124,189.25
  6. Step 6: Final answer
    x = 615,536.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.