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Finding the Third Proportional to 72,156 and 159,886

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Solution

The third proportional to 72,156 and 159,886 is: 354,281.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,156 : 159,886 = 159,886 : x
  2. Step 2: Convert to fraction form
    72,156/159,886 = 159,886/x
  3. Step 3: Cross multiply
    72,156x = 159,886 × 159,886
  4. Step 4: Simplify right side
    72,156x = 25,563,532,996
  5. Step 5: Solve for x
    x = 25,563,532,996/72,156
  6. Step 6: Final answer
    x = 354,281.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.