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Finding the Third Proportional to 43,888 and 97,120

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Solution

The third proportional to 43,888 and 97,120 is: 214,917.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,888 : 97,120 = 97,120 : x
  2. Step 2: Convert to fraction form
    43,888/97,120 = 97,120/x
  3. Step 3: Cross multiply
    43,888x = 97,120 × 97,120
  4. Step 4: Simplify right side
    43,888x = 9,432,294,400
  5. Step 5: Solve for x
    x = 9,432,294,400/43,888
  6. Step 6: Final answer
    x = 214,917.39

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.