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Finding the Third Proportional to 81,495 and 171,839.25

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Solution

The third proportional to 81,495 and 171,839.25 is: 362,337.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,495 : 171,839.25 = 171,839.25 : x
  2. Step 2: Convert to fraction form
    81,495/171,839.25 = 171,839.25/x
  3. Step 3: Cross multiply
    81,495x = 171,839.25 × 171,839.25
  4. Step 4: Simplify right side
    81,495x = 29,528,727,840.56
  5. Step 5: Solve for x
    x = 29,528,727,840.56/81,495
  6. Step 6: Final answer
    x = 362,337.91

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.