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Finding the Third Proportional to 75,873 and 164,047

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Solution

The third proportional to 75,873 and 164,047 is: 354,690.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,873 : 164,047 = 164,047 : x
  2. Step 2: Convert to fraction form
    75,873/164,047 = 164,047/x
  3. Step 3: Cross multiply
    75,873x = 164,047 × 164,047
  4. Step 4: Simplify right side
    75,873x = 26,911,418,209
  5. Step 5: Solve for x
    x = 26,911,418,209/75,873
  6. Step 6: Final answer
    x = 354,690.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.