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Finding the Third Proportional to 56,174 and 119,275

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Solution

The third proportional to 56,174 and 119,275 is: 253,258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,174 : 119,275 = 119,275 : x
  2. Step 2: Convert to fraction form
    56,174/119,275 = 119,275/x
  3. Step 3: Cross multiply
    56,174x = 119,275 × 119,275
  4. Step 4: Simplify right side
    56,174x = 14,226,525,625
  5. Step 5: Solve for x
    x = 14,226,525,625/56,174
  6. Step 6: Final answer
    x = 253,258.19

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.