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Finding the Third Proportional to 74,595 and 162,307

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Solution

The third proportional to 74,595 and 162,307 is: 353,154.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,595 : 162,307 = 162,307 : x
  2. Step 2: Convert to fraction form
    74,595/162,307 = 162,307/x
  3. Step 3: Cross multiply
    74,595x = 162,307 × 162,307
  4. Step 4: Simplify right side
    74,595x = 26,343,562,249
  5. Step 5: Solve for x
    x = 26,343,562,249/74,595
  6. Step 6: Final answer
    x = 353,154.53

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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.