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Finding the Third Proportional to 74,303 and 112,873

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Solution

The third proportional to 74,303 and 112,873 is: 171,464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,303 : 112,873 = 112,873 : x
  2. Step 2: Convert to fraction form
    74,303/112,873 = 112,873/x
  3. Step 3: Cross multiply
    74,303x = 112,873 × 112,873
  4. Step 4: Simplify right side
    74,303x = 12,740,314,129
  5. Step 5: Solve for x
    x = 12,740,314,129/74,303
  6. Step 6: Final answer
    x = 171,464.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.