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Finding the Third Proportional to 75,705.47 and 163,950.75

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Solution

The third proportional to 75,705.47 and 163,950.75 is: 355,058.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,705.47 : 163,950.75 = 163,950.75 : x
  2. Step 2: Convert to fraction form
    75,705.47/163,950.75 = 163,950.75/x
  3. Step 3: Cross multiply
    75,705.47x = 163,950.75 × 163,950.75
  4. Step 4: Simplify right side
    75,705.47x = 26,879,848,425.56
  5. Step 5: Solve for x
    x = 26,879,848,425.56/75,705.47
  6. Step 6: Final answer
    x = 355,058.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.