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Finding the Third Proportional to 72,903 and 158,982

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Solution

The third proportional to 72,903 and 158,982 is: 346,697.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,903 : 158,982 = 158,982 : x
  2. Step 2: Convert to fraction form
    72,903/158,982 = 158,982/x
  3. Step 3: Cross multiply
    72,903x = 158,982 × 158,982
  4. Step 4: Simplify right side
    72,903x = 25,275,276,324
  5. Step 5: Solve for x
    x = 25,275,276,324/72,903
  6. Step 6: Final answer
    x = 346,697.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.