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Finding the Third Proportional to 44,106 and 94,368

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Solution

The third proportional to 44,106 and 94,368 is: 201,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,106 : 94,368 = 94,368 : x
  2. Step 2: Convert to fraction form
    44,106/94,368 = 94,368/x
  3. Step 3: Cross multiply
    44,106x = 94,368 × 94,368
  4. Step 4: Simplify right side
    44,106x = 8,905,319,424
  5. Step 5: Solve for x
    x = 8,905,319,424/44,106
  6. Step 6: Final answer
    x = 201,907.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.