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Finding the Third Proportional to 49,223 and 76,365

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Solution

The third proportional to 49,223 and 76,365 is: 118,473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,223 : 76,365 = 76,365 : x
  2. Step 2: Convert to fraction form
    49,223/76,365 = 76,365/x
  3. Step 3: Cross multiply
    49,223x = 76,365 × 76,365
  4. Step 4: Simplify right side
    49,223x = 5,831,613,225
  5. Step 5: Solve for x
    x = 5,831,613,225/49,223
  6. Step 6: Final answer
    x = 118,473.34

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Why These Related Problems?

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