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Finding the Third Proportional to 113,049 and 174,967

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Solution

The third proportional to 113,049 and 174,967 is: 270,798.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,049 : 174,967 = 174,967 : x
  2. Step 2: Convert to fraction form
    113,049/174,967 = 174,967/x
  3. Step 3: Cross multiply
    113,049x = 174,967 × 174,967
  4. Step 4: Simplify right side
    113,049x = 30,613,451,089
  5. Step 5: Solve for x
    x = 30,613,451,089/113,049
  6. Step 6: Final answer
    x = 270,798.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.