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Finding the Third Proportional to 74,462 and 162,058

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Solution

The third proportional to 74,462 and 162,058 is: 352,700.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,462 : 162,058 = 162,058 : x
  2. Step 2: Convert to fraction form
    74,462/162,058 = 162,058/x
  3. Step 3: Cross multiply
    74,462x = 162,058 × 162,058
  4. Step 4: Simplify right side
    74,462x = 26,262,795,364
  5. Step 5: Solve for x
    x = 26,262,795,364/74,462
  6. Step 6: Final answer
    x = 352,700.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.