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Finding the Third Proportional to 76,550 and 164,174

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Solution

The third proportional to 76,550 and 164,174 is: 352,098.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,550 : 164,174 = 164,174 : x
  2. Step 2: Convert to fraction form
    76,550/164,174 = 164,174/x
  3. Step 3: Cross multiply
    76,550x = 164,174 × 164,174
  4. Step 4: Simplify right side
    76,550x = 26,953,102,276
  5. Step 5: Solve for x
    x = 26,953,102,276/76,550
  6. Step 6: Final answer
    x = 352,098.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.