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Finding the Third Proportional to 57,796 and 120,174

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Solution

The third proportional to 57,796 and 120,174 is: 249,875.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,796 : 120,174 = 120,174 : x
  2. Step 2: Convert to fraction form
    57,796/120,174 = 120,174/x
  3. Step 3: Cross multiply
    57,796x = 120,174 × 120,174
  4. Step 4: Simplify right side
    57,796x = 14,441,790,276
  5. Step 5: Solve for x
    x = 14,441,790,276/57,796
  6. Step 6: Final answer
    x = 249,875.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.