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Finding the Third Proportional to 76,454 and 162,196

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Solution

The third proportional to 76,454 and 162,196 is: 344,096.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,454 : 162,196 = 162,196 : x
  2. Step 2: Convert to fraction form
    76,454/162,196 = 162,196/x
  3. Step 3: Cross multiply
    76,454x = 162,196 × 162,196
  4. Step 4: Simplify right side
    76,454x = 26,307,542,416
  5. Step 5: Solve for x
    x = 26,307,542,416/76,454
  6. Step 6: Final answer
    x = 344,096.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.