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Finding the Third Proportional to 81,567 and 118,796.63

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Solution

The third proportional to 81,567 and 118,796.63 is: 173,018.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,567 : 118,796.63 = 118,796.63 : x
  2. Step 2: Convert to fraction form
    81,567/118,796.63 = 118,796.63/x
  3. Step 3: Cross multiply
    81,567x = 118,796.63 × 118,796.63
  4. Step 4: Simplify right side
    81,567x = 14,112,638,111.39
  5. Step 5: Solve for x
    x = 14,112,638,111.39/81,567
  6. Step 6: Final answer
    x = 173,018.97

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.