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Finding the Third Proportional to 74,910 and 163,048

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Solution

The third proportional to 74,910 and 163,048 is: 354,887.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,910 : 163,048 = 163,048 : x
  2. Step 2: Convert to fraction form
    74,910/163,048 = 163,048/x
  3. Step 3: Cross multiply
    74,910x = 163,048 × 163,048
  4. Step 4: Simplify right side
    74,910x = 26,584,650,304
  5. Step 5: Solve for x
    x = 26,584,650,304/74,910
  6. Step 6: Final answer
    x = 354,887.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.