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Finding the Third Proportional to 94,004 and 143,982

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Solution

The third proportional to 94,004 and 143,982 is: 220,531.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,004 : 143,982 = 143,982 : x
  2. Step 2: Convert to fraction form
    94,004/143,982 = 143,982/x
  3. Step 3: Cross multiply
    94,004x = 143,982 × 143,982
  4. Step 4: Simplify right side
    94,004x = 20,730,816,324
  5. Step 5: Solve for x
    x = 20,730,816,324/94,004
  6. Step 6: Final answer
    x = 220,531.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.