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Finding the Third Proportional to 74,487 and 162,077

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Solution

The third proportional to 74,487 and 162,077 is: 352,664.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,487 : 162,077 = 162,077 : x
  2. Step 2: Convert to fraction form
    74,487/162,077 = 162,077/x
  3. Step 3: Cross multiply
    74,487x = 162,077 × 162,077
  4. Step 4: Simplify right side
    74,487x = 26,268,953,929
  5. Step 5: Solve for x
    x = 26,268,953,929/74,487
  6. Step 6: Final answer
    x = 352,664.95

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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.