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Finding the Third Proportional to 94,964 and 204,972

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Solution

The third proportional to 94,964 and 204,972 is: 442,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,964 : 204,972 = 204,972 : x
  2. Step 2: Convert to fraction form
    94,964/204,972 = 204,972/x
  3. Step 3: Cross multiply
    94,964x = 204,972 × 204,972
  4. Step 4: Simplify right side
    94,964x = 42,013,520,784
  5. Step 5: Solve for x
    x = 42,013,520,784/94,964
  6. Step 6: Final answer
    x = 442,415.24

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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.