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Finding the Third Proportional to 74,307 and 162,195

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Solution

The third proportional to 74,307 and 162,195 is: 354,034.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,307 : 162,195 = 162,195 : x
  2. Step 2: Convert to fraction form
    74,307/162,195 = 162,195/x
  3. Step 3: Cross multiply
    74,307x = 162,195 × 162,195
  4. Step 4: Simplify right side
    74,307x = 26,307,218,025
  5. Step 5: Solve for x
    x = 26,307,218,025/74,307
  6. Step 6: Final answer
    x = 354,034.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.