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Finding the Third Proportional to 73,058 and 110,007

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Solution

The third proportional to 73,058 and 110,007 is: 165,642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,058 : 110,007 = 110,007 : x
  2. Step 2: Convert to fraction form
    73,058/110,007 = 110,007/x
  3. Step 3: Cross multiply
    73,058x = 110,007 × 110,007
  4. Step 4: Simplify right side
    73,058x = 12,101,540,049
  5. Step 5: Solve for x
    x = 12,101,540,049/73,058
  6. Step 6: Final answer
    x = 165,642.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.