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Finding the Third Proportional to 49,362 and 72,307

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Solution

The third proportional to 49,362 and 72,307 is: 105,917.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,362 : 72,307 = 72,307 : x
  2. Step 2: Convert to fraction form
    49,362/72,307 = 72,307/x
  3. Step 3: Cross multiply
    49,362x = 72,307 × 72,307
  4. Step 4: Simplify right side
    49,362x = 5,228,302,249
  5. Step 5: Solve for x
    x = 5,228,302,249/49,362
  6. Step 6: Final answer
    x = 105,917.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.