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Finding the Third Proportional to 93,729 and 133,938

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Solution

The third proportional to 93,729 and 133,938 is: 191,396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,729 : 133,938 = 133,938 : x
  2. Step 2: Convert to fraction form
    93,729/133,938 = 133,938/x
  3. Step 3: Cross multiply
    93,729x = 133,938 × 133,938
  4. Step 4: Simplify right side
    93,729x = 17,939,387,844
  5. Step 5: Solve for x
    x = 17,939,387,844/93,729
  6. Step 6: Final answer
    x = 191,396.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.