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Finding the Third Proportional to 94,952 and 202,612

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Solution

The third proportional to 94,952 and 202,612 is: 432,340.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,952 : 202,612 = 202,612 : x
  2. Step 2: Convert to fraction form
    94,952/202,612 = 202,612/x
  3. Step 3: Cross multiply
    94,952x = 202,612 × 202,612
  4. Step 4: Simplify right side
    94,952x = 41,051,622,544
  5. Step 5: Solve for x
    x = 41,051,622,544/94,952
  6. Step 6: Final answer
    x = 432,340.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.