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Finding the Third Proportional to 103,830 and 162,693

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Solution

The third proportional to 103,830 and 162,693 is: 254,926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,830 : 162,693 = 162,693 : x
  2. Step 2: Convert to fraction form
    103,830/162,693 = 162,693/x
  3. Step 3: Cross multiply
    103,830x = 162,693 × 162,693
  4. Step 4: Simplify right side
    103,830x = 26,469,012,249
  5. Step 5: Solve for x
    x = 26,469,012,249/103,830
  6. Step 6: Final answer
    x = 254,926.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.