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Finding the Third Proportional to 44,032 and 103,894

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Solution

The third proportional to 44,032 and 103,894 is: 245,139.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,032 : 103,894 = 103,894 : x
  2. Step 2: Convert to fraction form
    44,032/103,894 = 103,894/x
  3. Step 3: Cross multiply
    44,032x = 103,894 × 103,894
  4. Step 4: Simplify right side
    44,032x = 10,793,963,236
  5. Step 5: Solve for x
    x = 10,793,963,236/44,032
  6. Step 6: Final answer
    x = 245,139.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.