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Finding the Third Proportional to 76,464 and 162,772

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Solution

The third proportional to 76,464 and 162,772 is: 346,499.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,464 : 162,772 = 162,772 : x
  2. Step 2: Convert to fraction form
    76,464/162,772 = 162,772/x
  3. Step 3: Cross multiply
    76,464x = 162,772 × 162,772
  4. Step 4: Simplify right side
    76,464x = 26,494,723,984
  5. Step 5: Solve for x
    x = 26,494,723,984/76,464
  6. Step 6: Final answer
    x = 346,499.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.