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Finding the Third Proportional to 43,219 and 93,545

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Solution

The third proportional to 43,219 and 93,545 is: 202,472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,219 : 93,545 = 93,545 : x
  2. Step 2: Convert to fraction form
    43,219/93,545 = 93,545/x
  3. Step 3: Cross multiply
    43,219x = 93,545 × 93,545
  4. Step 4: Simplify right side
    43,219x = 8,750,667,025
  5. Step 5: Solve for x
    x = 8,750,667,025/43,219
  6. Step 6: Final answer
    x = 202,472.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.