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Finding the Third Proportional to 84,097 and 133,732

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Solution

The third proportional to 84,097 and 133,732 is: 212,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,097 : 133,732 = 133,732 : x
  2. Step 2: Convert to fraction form
    84,097/133,732 = 133,732/x
  3. Step 3: Cross multiply
    84,097x = 133,732 × 133,732
  4. Step 4: Simplify right side
    84,097x = 17,884,247,824
  5. Step 5: Solve for x
    x = 17,884,247,824/84,097
  6. Step 6: Final answer
    x = 212,662.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.