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Finding the Third Proportional to 49,656 and 101,499

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Solution

The third proportional to 49,656 and 101,499 is: 207,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,656 : 101,499 = 101,499 : x
  2. Step 2: Convert to fraction form
    49,656/101,499 = 101,499/x
  3. Step 3: Cross multiply
    49,656x = 101,499 × 101,499
  4. Step 4: Simplify right side
    49,656x = 10,302,047,001
  5. Step 5: Solve for x
    x = 10,302,047,001/49,656
  6. Step 6: Final answer
    x = 207,468.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.