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Finding the Third Proportional to 81,494.65 and 124,663.43

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Solution

The third proportional to 81,494.65 and 124,663.43 is: 190,699.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,494.65 : 124,663.43 = 124,663.43 : x
  2. Step 2: Convert to fraction form
    81,494.65/124,663.43 = 124,663.43/x
  3. Step 3: Cross multiply
    81,494.65x = 124,663.43 × 124,663.43
  4. Step 4: Simplify right side
    81,494.65x = 15,540,970,701.45
  5. Step 5: Solve for x
    x = 15,540,970,701.45/81,494.65
  6. Step 6: Final answer
    x = 190,699.28

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.