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Finding the Third Proportional to 74,066 and 103,683

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Solution

The third proportional to 74,066 and 103,683 is: 145,143.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,066 : 103,683 = 103,683 : x
  2. Step 2: Convert to fraction form
    74,066/103,683 = 103,683/x
  3. Step 3: Cross multiply
    74,066x = 103,683 × 103,683
  4. Step 4: Simplify right side
    74,066x = 10,750,164,489
  5. Step 5: Solve for x
    x = 10,750,164,489/74,066
  6. Step 6: Final answer
    x = 145,143.04

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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.