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Finding the Third Proportional to 76,468 and 164,654

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Solution

The third proportional to 76,468 and 164,654 is: 354,539.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,468 : 164,654 = 164,654 : x
  2. Step 2: Convert to fraction form
    76,468/164,654 = 164,654/x
  3. Step 3: Cross multiply
    76,468x = 164,654 × 164,654
  4. Step 4: Simplify right side
    76,468x = 27,110,939,716
  5. Step 5: Solve for x
    x = 27,110,939,716/76,468
  6. Step 6: Final answer
    x = 354,539.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.