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Finding the Third Proportional to 74,344 and 109,028

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Solution

The third proportional to 74,344 and 109,028 is: 159,893.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,344 : 109,028 = 109,028 : x
  2. Step 2: Convert to fraction form
    74,344/109,028 = 109,028/x
  3. Step 3: Cross multiply
    74,344x = 109,028 × 109,028
  4. Step 4: Simplify right side
    74,344x = 11,887,104,784
  5. Step 5: Solve for x
    x = 11,887,104,784/74,344
  6. Step 6: Final answer
    x = 159,893.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.