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Finding the Third Proportional to 74,844 and 162,648

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Solution

The third proportional to 74,844 and 162,648 is: 353,460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,844 : 162,648 = 162,648 : x
  2. Step 2: Convert to fraction form
    74,844/162,648 = 162,648/x
  3. Step 3: Cross multiply
    74,844x = 162,648 × 162,648
  4. Step 4: Simplify right side
    74,844x = 26,454,371,904
  5. Step 5: Solve for x
    x = 26,454,371,904/74,844
  6. Step 6: Final answer
    x = 353,460.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.