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Finding the Third Proportional to 115,541 and 250,036

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Solution

The third proportional to 115,541 and 250,036 is: 541,089.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,541 : 250,036 = 250,036 : x
  2. Step 2: Convert to fraction form
    115,541/250,036 = 250,036/x
  3. Step 3: Cross multiply
    115,541x = 250,036 × 250,036
  4. Step 4: Simplify right side
    115,541x = 62,518,001,296
  5. Step 5: Solve for x
    x = 62,518,001,296/115,541
  6. Step 6: Final answer
    x = 541,089.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.