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Finding the Third Proportional to 52,275.09 and 111,293.44

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Solution

The third proportional to 52,275.09 and 111,293.44 is: 236,943.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,275.09 : 111,293.44 = 111,293.44 : x
  2. Step 2: Convert to fraction form
    52,275.09/111,293.44 = 111,293.44/x
  3. Step 3: Cross multiply
    52,275.09x = 111,293.44 × 111,293.44
  4. Step 4: Simplify right side
    52,275.09x = 12,386,229,230.57
  5. Step 5: Solve for x
    x = 12,386,229,230.57/52,275.09
  6. Step 6: Final answer
    x = 236,943.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.