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Finding the Third Proportional to 73,548 and 159,543

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Solution

The third proportional to 73,548 and 159,543 is: 346,086.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,548 : 159,543 = 159,543 : x
  2. Step 2: Convert to fraction form
    73,548/159,543 = 159,543/x
  3. Step 3: Cross multiply
    73,548x = 159,543 × 159,543
  4. Step 4: Simplify right side
    73,548x = 25,453,968,849
  5. Step 5: Solve for x
    x = 25,453,968,849/73,548
  6. Step 6: Final answer
    x = 346,086.49

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