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Finding the Third Proportional to 45,089 and 97,954

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Solution

The third proportional to 45,089 and 97,954 is: 212,801.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,089 : 97,954 = 97,954 : x
  2. Step 2: Convert to fraction form
    45,089/97,954 = 97,954/x
  3. Step 3: Cross multiply
    45,089x = 97,954 × 97,954
  4. Step 4: Simplify right side
    45,089x = 9,594,986,116
  5. Step 5: Solve for x
    x = 9,594,986,116/45,089
  6. Step 6: Final answer
    x = 212,801.04

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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.