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Finding the Third Proportional to 113,054 and 166,443

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Solution

The third proportional to 113,054 and 166,443 is: 245,044.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,054 : 166,443 = 166,443 : x
  2. Step 2: Convert to fraction form
    113,054/166,443 = 166,443/x
  3. Step 3: Cross multiply
    113,054x = 166,443 × 166,443
  4. Step 4: Simplify right side
    113,054x = 27,703,272,249
  5. Step 5: Solve for x
    x = 27,703,272,249/113,054
  6. Step 6: Final answer
    x = 245,044.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.