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Finding the Third Proportional to 56,049 and 117,291

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Solution

The third proportional to 56,049 and 117,291 is: 245,449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,049 : 117,291 = 117,291 : x
  2. Step 2: Convert to fraction form
    56,049/117,291 = 117,291/x
  3. Step 3: Cross multiply
    56,049x = 117,291 × 117,291
  4. Step 4: Simplify right side
    56,049x = 13,757,178,681
  5. Step 5: Solve for x
    x = 13,757,178,681/56,049
  6. Step 6: Final answer
    x = 245,449.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.