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Finding the Third Proportional to 74,012 and 109,058

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Solution

The third proportional to 74,012 and 109,058 is: 160,698.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,012 : 109,058 = 109,058 : x
  2. Step 2: Convert to fraction form
    74,012/109,058 = 109,058/x
  3. Step 3: Cross multiply
    74,012x = 109,058 × 109,058
  4. Step 4: Simplify right side
    74,012x = 11,893,647,364
  5. Step 5: Solve for x
    x = 11,893,647,364/74,012
  6. Step 6: Final answer
    x = 160,698.91

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