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Finding the Third Proportional to 74,199 and 159,513

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Solution

The third proportional to 74,199 and 159,513 is: 342,921.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,199 : 159,513 = 159,513 : x
  2. Step 2: Convert to fraction form
    74,199/159,513 = 159,513/x
  3. Step 3: Cross multiply
    74,199x = 159,513 × 159,513
  4. Step 4: Simplify right side
    74,199x = 25,444,397,169
  5. Step 5: Solve for x
    x = 25,444,397,169/74,199
  6. Step 6: Final answer
    x = 342,921.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.