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Finding the Third Proportional to 49,222 and 76,363

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Solution

The third proportional to 49,222 and 76,363 is: 118,469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,222 : 76,363 = 76,363 : x
  2. Step 2: Convert to fraction form
    49,222/76,363 = 76,363/x
  3. Step 3: Cross multiply
    49,222x = 76,363 × 76,363
  4. Step 4: Simplify right side
    49,222x = 5,831,307,769
  5. Step 5: Solve for x
    x = 5,831,307,769/49,222
  6. Step 6: Final answer
    x = 118,469.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.