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Finding the Third Proportional to 124,140.09 and 276,387.19

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Solution

The third proportional to 124,140.09 and 276,387.19 is: 615,352.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,140.09 : 276,387.19 = 276,387.19 : x
  2. Step 2: Convert to fraction form
    124,140.09/276,387.19 = 276,387.19/x
  3. Step 3: Cross multiply
    124,140.09x = 276,387.19 × 276,387.19
  4. Step 4: Simplify right side
    124,140.09x = 76,389,877,414.16
  5. Step 5: Solve for x
    x = 76,389,877,414.16/124,140.09
  6. Step 6: Final answer
    x = 615,352.18

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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.