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Finding the Third Proportional to 106,675 and 233,032

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Solution

The third proportional to 106,675 and 233,032 is: 509,059.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,675 : 233,032 = 233,032 : x
  2. Step 2: Convert to fraction form
    106,675/233,032 = 233,032/x
  3. Step 3: Cross multiply
    106,675x = 233,032 × 233,032
  4. Step 4: Simplify right side
    106,675x = 54,303,913,024
  5. Step 5: Solve for x
    x = 54,303,913,024/106,675
  6. Step 6: Final answer
    x = 509,059.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.