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Finding the Third Proportional to 40,905 and 83,754

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Solution

The third proportional to 40,905 and 83,754 is: 171,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,905 : 83,754 = 83,754 : x
  2. Step 2: Convert to fraction form
    40,905/83,754 = 83,754/x
  3. Step 3: Cross multiply
    40,905x = 83,754 × 83,754
  4. Step 4: Simplify right side
    40,905x = 7,014,732,516
  5. Step 5: Solve for x
    x = 7,014,732,516/40,905
  6. Step 6: Final answer
    x = 171,488.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.