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Finding the Third Proportional to 74,648 and 115,752

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Solution

The third proportional to 74,648 and 115,752 is: 179,489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,648 : 115,752 = 115,752 : x
  2. Step 2: Convert to fraction form
    74,648/115,752 = 115,752/x
  3. Step 3: Cross multiply
    74,648x = 115,752 × 115,752
  4. Step 4: Simplify right side
    74,648x = 13,398,525,504
  5. Step 5: Solve for x
    x = 13,398,525,504/74,648
  6. Step 6: Final answer
    x = 179,489.41

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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.