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Finding the Third Proportional to 31,658 and 69,197

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Solution

The third proportional to 31,658 and 69,197 is: 151,248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,658 : 69,197 = 69,197 : x
  2. Step 2: Convert to fraction form
    31,658/69,197 = 69,197/x
  3. Step 3: Cross multiply
    31,658x = 69,197 × 69,197
  4. Step 4: Simplify right side
    31,658x = 4,788,224,809
  5. Step 5: Solve for x
    x = 4,788,224,809/31,658
  6. Step 6: Final answer
    x = 151,248.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.