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Finding the Third Proportional to 75,327 and 163,773

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Solution

The third proportional to 75,327 and 163,773 is: 356,068.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,327 : 163,773 = 163,773 : x
  2. Step 2: Convert to fraction form
    75,327/163,773 = 163,773/x
  3. Step 3: Cross multiply
    75,327x = 163,773 × 163,773
  4. Step 4: Simplify right side
    75,327x = 26,821,595,529
  5. Step 5: Solve for x
    x = 26,821,595,529/75,327
  6. Step 6: Final answer
    x = 356,068.81

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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.