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Finding the Third Proportional to 74,370 and 104,022

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Solution

The third proportional to 74,370 and 104,022 is: 145,496.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,370 : 104,022 = 104,022 : x
  2. Step 2: Convert to fraction form
    74,370/104,022 = 104,022/x
  3. Step 3: Cross multiply
    74,370x = 104,022 × 104,022
  4. Step 4: Simplify right side
    74,370x = 10,820,576,484
  5. Step 5: Solve for x
    x = 10,820,576,484/74,370
  6. Step 6: Final answer
    x = 145,496.52

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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.