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Finding the Third Proportional to 45,116 and 97,912

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Solution

The third proportional to 45,116 and 97,912 is: 212,491.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,116 : 97,912 = 97,912 : x
  2. Step 2: Convert to fraction form
    45,116/97,912 = 97,912/x
  3. Step 3: Cross multiply
    45,116x = 97,912 × 97,912
  4. Step 4: Simplify right side
    45,116x = 9,586,759,744
  5. Step 5: Solve for x
    x = 9,586,759,744/45,116
  6. Step 6: Final answer
    x = 212,491.35

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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.