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Finding the Third Proportional to 104,040 and 161,028

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Solution

The third proportional to 104,040 and 161,028 is: 249,231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,040 : 161,028 = 161,028 : x
  2. Step 2: Convert to fraction form
    104,040/161,028 = 161,028/x
  3. Step 3: Cross multiply
    104,040x = 161,028 × 161,028
  4. Step 4: Simplify right side
    104,040x = 25,930,016,784
  5. Step 5: Solve for x
    x = 25,930,016,784/104,040
  6. Step 6: Final answer
    x = 249,231.23

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Why These Related Problems?

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