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Finding the Third Proportional to 74,977.31 and 162,664.88

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Solution

The third proportional to 74,977.31 and 162,664.88 is: 352,904.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,977.31 : 162,664.88 = 162,664.88 : x
  2. Step 2: Convert to fraction form
    74,977.31/162,664.88 = 162,664.88/x
  3. Step 3: Cross multiply
    74,977.31x = 162,664.88 × 162,664.88
  4. Step 4: Simplify right side
    74,977.31x = 26,459,861,558.77
  5. Step 5: Solve for x
    x = 26,459,861,558.77/74,977.31
  6. Step 6: Final answer
    x = 352,904.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.