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Finding the Third Proportional to 49,588 and 103,292

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Solution

The third proportional to 49,588 and 103,292 is: 215,157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,588 : 103,292 = 103,292 : x
  2. Step 2: Convert to fraction form
    49,588/103,292 = 103,292/x
  3. Step 3: Cross multiply
    49,588x = 103,292 × 103,292
  4. Step 4: Simplify right side
    49,588x = 10,669,237,264
  5. Step 5: Solve for x
    x = 10,669,237,264/49,588
  6. Step 6: Final answer
    x = 215,157.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.