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Finding the Third Proportional to 107,296 and 162,323

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Solution

The third proportional to 107,296 and 162,323 is: 245,570.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,296 : 162,323 = 162,323 : x
  2. Step 2: Convert to fraction form
    107,296/162,323 = 162,323/x
  3. Step 3: Cross multiply
    107,296x = 162,323 × 162,323
  4. Step 4: Simplify right side
    107,296x = 26,348,756,329
  5. Step 5: Solve for x
    x = 26,348,756,329/107,296
  6. Step 6: Final answer
    x = 245,570.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.