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Finding the Third Proportional to 74,901 and 163,869

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Solution

The third proportional to 74,901 and 163,869 is: 358,513.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,901 : 163,869 = 163,869 : x
  2. Step 2: Convert to fraction form
    74,901/163,869 = 163,869/x
  3. Step 3: Cross multiply
    74,901x = 163,869 × 163,869
  4. Step 4: Simplify right side
    74,901x = 26,853,049,161
  5. Step 5: Solve for x
    x = 26,853,049,161/74,901
  6. Step 6: Final answer
    x = 358,513.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.