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Finding the Third Proportional to 73,041 and 115,557

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Solution

The third proportional to 73,041 and 115,557 is: 182,820.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,041 : 115,557 = 115,557 : x
  2. Step 2: Convert to fraction form
    73,041/115,557 = 115,557/x
  3. Step 3: Cross multiply
    73,041x = 115,557 × 115,557
  4. Step 4: Simplify right side
    73,041x = 13,353,420,249
  5. Step 5: Solve for x
    x = 13,353,420,249/73,041
  6. Step 6: Final answer
    x = 182,820.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.