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Finding the Third Proportional to 113,014 and 166,017

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Solution

The third proportional to 113,014 and 166,017 is: 243,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,014 : 166,017 = 166,017 : x
  2. Step 2: Convert to fraction form
    113,014/166,017 = 166,017/x
  3. Step 3: Cross multiply
    113,014x = 166,017 × 166,017
  4. Step 4: Simplify right side
    113,014x = 27,561,644,289
  5. Step 5: Solve for x
    x = 27,561,644,289/113,014
  6. Step 6: Final answer
    x = 243,878.14

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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.