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Finding the Third Proportional to 74,855 and 113,058

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Solution

The third proportional to 74,855 and 113,058 is: 170,758.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,855 : 113,058 = 113,058 : x
  2. Step 2: Convert to fraction form
    74,855/113,058 = 113,058/x
  3. Step 3: Cross multiply
    74,855x = 113,058 × 113,058
  4. Step 4: Simplify right side
    74,855x = 12,782,111,364
  5. Step 5: Solve for x
    x = 12,782,111,364/74,855
  6. Step 6: Final answer
    x = 170,758.28

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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.