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Finding the Third Proportional to 56,593 and 116,773

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Solution

The third proportional to 56,593 and 116,773 is: 240,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,593 : 116,773 = 116,773 : x
  2. Step 2: Convert to fraction form
    56,593/116,773 = 116,773/x
  3. Step 3: Cross multiply
    56,593x = 116,773 × 116,773
  4. Step 4: Simplify right side
    56,593x = 13,635,933,529
  5. Step 5: Solve for x
    x = 13,635,933,529/56,593
  6. Step 6: Final answer
    x = 240,947.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.