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Finding the Third Proportional to 44,705.25 and 94,739.63

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Solution

The third proportional to 44,705.25 and 94,739.63 is: 200,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,705.25 : 94,739.63 = 94,739.63 : x
  2. Step 2: Convert to fraction form
    44,705.25/94,739.63 = 94,739.63/x
  3. Step 3: Cross multiply
    44,705.25x = 94,739.63 × 94,739.63
  4. Step 4: Simplify right side
    44,705.25x = 8,975,596,545.14
  5. Step 5: Solve for x
    x = 8,975,596,545.14/44,705.25
  6. Step 6: Final answer
    x = 200,772.76

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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.