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Finding the Third Proportional to 109,054 and 159,982

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Solution

The third proportional to 109,054 and 159,982 is: 234,693.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,054 : 159,982 = 159,982 : x
  2. Step 2: Convert to fraction form
    109,054/159,982 = 159,982/x
  3. Step 3: Cross multiply
    109,054x = 159,982 × 159,982
  4. Step 4: Simplify right side
    109,054x = 25,594,240,324
  5. Step 5: Solve for x
    x = 25,594,240,324/109,054
  6. Step 6: Final answer
    x = 234,693.27

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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.