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Finding the Third Proportional to 45,106 and 103,957

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Solution

The third proportional to 45,106 and 103,957 is: 239,592.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,106 : 103,957 = 103,957 : x
  2. Step 2: Convert to fraction form
    45,106/103,957 = 103,957/x
  3. Step 3: Cross multiply
    45,106x = 103,957 × 103,957
  4. Step 4: Simplify right side
    45,106x = 10,807,057,849
  5. Step 5: Solve for x
    x = 10,807,057,849/45,106
  6. Step 6: Final answer
    x = 239,592.47

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.