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Finding the Third Proportional to 101,196 and 162,594

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Solution

The third proportional to 101,196 and 162,594 is: 261,243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,196 : 162,594 = 162,594 : x
  2. Step 2: Convert to fraction form
    101,196/162,594 = 162,594/x
  3. Step 3: Cross multiply
    101,196x = 162,594 × 162,594
  4. Step 4: Simplify right side
    101,196x = 26,436,808,836
  5. Step 5: Solve for x
    x = 26,436,808,836/101,196
  6. Step 6: Final answer
    x = 261,243.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.