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Finding the Third Proportional to 78,353 and 169,174

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Solution

The third proportional to 78,353 and 169,174 is: 365,267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,353 : 169,174 = 169,174 : x
  2. Step 2: Convert to fraction form
    78,353/169,174 = 169,174/x
  3. Step 3: Cross multiply
    78,353x = 169,174 × 169,174
  4. Step 4: Simplify right side
    78,353x = 28,619,842,276
  5. Step 5: Solve for x
    x = 28,619,842,276/78,353
  6. Step 6: Final answer
    x = 365,267.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.