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Finding the Third Proportional to 100,683 and 141,106

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Solution

The third proportional to 100,683 and 141,106 is: 197,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,683 : 141,106 = 141,106 : x
  2. Step 2: Convert to fraction form
    100,683/141,106 = 141,106/x
  3. Step 3: Cross multiply
    100,683x = 141,106 × 141,106
  4. Step 4: Simplify right side
    100,683x = 19,910,903,236
  5. Step 5: Solve for x
    x = 19,910,903,236/100,683
  6. Step 6: Final answer
    x = 197,758.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.