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Finding the Third Proportional to 74,972 and 116,041

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Solution

The third proportional to 74,972 and 116,041 is: 179,607.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,972 : 116,041 = 116,041 : x
  2. Step 2: Convert to fraction form
    74,972/116,041 = 116,041/x
  3. Step 3: Cross multiply
    74,972x = 116,041 × 116,041
  4. Step 4: Simplify right side
    74,972x = 13,465,513,681
  5. Step 5: Solve for x
    x = 13,465,513,681/74,972
  6. Step 6: Final answer
    x = 179,607.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.