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Finding the Third Proportional to 76,604 and 164,877

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Solution

The third proportional to 76,604 and 164,877 is: 354,869.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,604 : 164,877 = 164,877 : x
  2. Step 2: Convert to fraction form
    76,604/164,877 = 164,877/x
  3. Step 3: Cross multiply
    76,604x = 164,877 × 164,877
  4. Step 4: Simplify right side
    76,604x = 27,184,425,129
  5. Step 5: Solve for x
    x = 27,184,425,129/76,604
  6. Step 6: Final answer
    x = 354,869.53

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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.