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Finding the Third Proportional to 100,735 and 141,206

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Solution

The third proportional to 100,735 and 141,206 is: 197,936.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,735 : 141,206 = 141,206 : x
  2. Step 2: Convert to fraction form
    100,735/141,206 = 141,206/x
  3. Step 3: Cross multiply
    100,735x = 141,206 × 141,206
  4. Step 4: Simplify right side
    100,735x = 19,939,134,436
  5. Step 5: Solve for x
    x = 19,939,134,436/100,735
  6. Step 6: Final answer
    x = 197,936.51

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