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Finding the Third Proportional to 74,111 and 159,886

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Solution

The third proportional to 74,111 and 159,886 is: 344,935.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,111 : 159,886 = 159,886 : x
  2. Step 2: Convert to fraction form
    74,111/159,886 = 159,886/x
  3. Step 3: Cross multiply
    74,111x = 159,886 × 159,886
  4. Step 4: Simplify right side
    74,111x = 25,563,532,996
  5. Step 5: Solve for x
    x = 25,563,532,996/74,111
  6. Step 6: Final answer
    x = 344,935.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.