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Finding the Third Proportional to 94,952 and 204,952

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Solution

The third proportional to 94,952 and 204,952 is: 442,384.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,952 : 204,952 = 204,952 : x
  2. Step 2: Convert to fraction form
    94,952/204,952 = 204,952/x
  3. Step 3: Cross multiply
    94,952x = 204,952 × 204,952
  4. Step 4: Simplify right side
    94,952x = 42,005,322,304
  5. Step 5: Solve for x
    x = 42,005,322,304/94,952
  6. Step 6: Final answer
    x = 442,384.81

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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.