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Finding the Third Proportional to 49,989 and 108,726

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Solution

The third proportional to 49,989 and 108,726 is: 236,478.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,989 : 108,726 = 108,726 : x
  2. Step 2: Convert to fraction form
    49,989/108,726 = 108,726/x
  3. Step 3: Cross multiply
    49,989x = 108,726 × 108,726
  4. Step 4: Simplify right side
    49,989x = 11,821,343,076
  5. Step 5: Solve for x
    x = 11,821,343,076/49,989
  6. Step 6: Final answer
    x = 236,478.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.