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Finding the Third Proportional to 49,444 and 102,390

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Solution

The third proportional to 49,444 and 102,390 is: 212,032.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,444 : 102,390 = 102,390 : x
  2. Step 2: Convert to fraction form
    49,444/102,390 = 102,390/x
  3. Step 3: Cross multiply
    49,444x = 102,390 × 102,390
  4. Step 4: Simplify right side
    49,444x = 10,483,712,100
  5. Step 5: Solve for x
    x = 10,483,712,100/49,444
  6. Step 6: Final answer
    x = 212,032.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.