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Finding the Third Proportional to 81,389.81 and 126,010.69

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Solution

The third proportional to 81,389.81 and 126,010.69 is: 195,094.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,389.81 : 126,010.69 = 126,010.69 : x
  2. Step 2: Convert to fraction form
    81,389.81/126,010.69 = 126,010.69/x
  3. Step 3: Cross multiply
    81,389.81x = 126,010.69 × 126,010.69
  4. Step 4: Simplify right side
    81,389.81x = 15,878,693,364.22
  5. Step 5: Solve for x
    x = 15,878,693,364.22/81,389.81
  6. Step 6: Final answer
    x = 195,094.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.