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Finding the Third Proportional to 42,958 and 93,296

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Solution

The third proportional to 42,958 and 93,296 is: 202,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,958 : 93,296 = 93,296 : x
  2. Step 2: Convert to fraction form
    42,958/93,296 = 93,296/x
  3. Step 3: Cross multiply
    42,958x = 93,296 × 93,296
  4. Step 4: Simplify right side
    42,958x = 8,704,143,616
  5. Step 5: Solve for x
    x = 8,704,143,616/42,958
  6. Step 6: Final answer
    x = 202,619.85

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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.