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Finding the Third Proportional to 93,493 and 145,041

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Solution

The third proportional to 93,493 and 145,041 is: 225,010.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,493 : 145,041 = 145,041 : x
  2. Step 2: Convert to fraction form
    93,493/145,041 = 145,041/x
  3. Step 3: Cross multiply
    93,493x = 145,041 × 145,041
  4. Step 4: Simplify right side
    93,493x = 21,036,891,681
  5. Step 5: Solve for x
    x = 21,036,891,681/93,493
  6. Step 6: Final answer
    x = 225,010.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.