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Finding the Third Proportional to 74,073 and 103,693

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Solution

The third proportional to 74,073 and 103,693 is: 145,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,073 : 103,693 = 103,693 : x
  2. Step 2: Convert to fraction form
    74,073/103,693 = 103,693/x
  3. Step 3: Cross multiply
    74,073x = 103,693 × 103,693
  4. Step 4: Simplify right side
    74,073x = 10,752,238,249
  5. Step 5: Solve for x
    x = 10,752,238,249/74,073
  6. Step 6: Final answer
    x = 145,157.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.