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Finding the Third Proportional to 44,145 and 94,349.25

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Solution

The third proportional to 44,145 and 94,349.25 is: 201,648.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,145 : 94,349.25 = 94,349.25 : x
  2. Step 2: Convert to fraction form
    44,145/94,349.25 = 94,349.25/x
  3. Step 3: Cross multiply
    44,145x = 94,349.25 × 94,349.25
  4. Step 4: Simplify right side
    44,145x = 8,901,780,975.56
  5. Step 5: Solve for x
    x = 8,901,780,975.56/44,145
  6. Step 6: Final answer
    x = 201,648.68

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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.