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Finding the Third Proportional to 73,489 and 159,506

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Solution

The third proportional to 73,489 and 159,506 is: 346,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,489 : 159,506 = 159,506 : x
  2. Step 2: Convert to fraction form
    73,489/159,506 = 159,506/x
  3. Step 3: Cross multiply
    73,489x = 159,506 × 159,506
  4. Step 4: Simplify right side
    73,489x = 25,442,164,036
  5. Step 5: Solve for x
    x = 25,442,164,036/73,489
  6. Step 6: Final answer
    x = 346,203.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.