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Finding the Third Proportional to 82,014.19 and 104,798.81

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Solution

The third proportional to 82,014.19 and 104,798.81 is: 133,913.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,014.19 : 104,798.81 = 104,798.81 : x
  2. Step 2: Convert to fraction form
    82,014.19/104,798.81 = 104,798.81/x
  3. Step 3: Cross multiply
    82,014.19x = 104,798.81 × 104,798.81
  4. Step 4: Simplify right side
    82,014.19x = 10,982,791,101.41
  5. Step 5: Solve for x
    x = 10,982,791,101.41/82,014.19
  6. Step 6: Final answer
    x = 133,913.31

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.