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Finding the Third Proportional to 56,169 and 123,636

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Solution

The third proportional to 56,169 and 123,636 is: 272,140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,169 : 123,636 = 123,636 : x
  2. Step 2: Convert to fraction form
    56,169/123,636 = 123,636/x
  3. Step 3: Cross multiply
    56,169x = 123,636 × 123,636
  4. Step 4: Simplify right side
    56,169x = 15,285,860,496
  5. Step 5: Solve for x
    x = 15,285,860,496/56,169
  6. Step 6: Final answer
    x = 272,140.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.