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Finding the Third Proportional to 72,698 and 156,886

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Solution

The third proportional to 72,698 and 156,886 is: 338,568.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,698 : 156,886 = 156,886 : x
  2. Step 2: Convert to fraction form
    72,698/156,886 = 156,886/x
  3. Step 3: Cross multiply
    72,698x = 156,886 × 156,886
  4. Step 4: Simplify right side
    72,698x = 24,613,216,996
  5. Step 5: Solve for x
    x = 24,613,216,996/72,698
  6. Step 6: Final answer
    x = 338,568.01

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