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Finding the Third Proportional to 44,447 and 94,123

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Solution

The third proportional to 44,447 and 94,123 is: 199,319.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,447 : 94,123 = 94,123 : x
  2. Step 2: Convert to fraction form
    44,447/94,123 = 94,123/x
  3. Step 3: Cross multiply
    44,447x = 94,123 × 94,123
  4. Step 4: Simplify right side
    44,447x = 8,859,139,129
  5. Step 5: Solve for x
    x = 8,859,139,129/44,447
  6. Step 6: Final answer
    x = 199,319.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.