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Finding the Third Proportional to 68,119 and 101,206

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Solution

The third proportional to 68,119 and 101,206 is: 150,364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,119 : 101,206 = 101,206 : x
  2. Step 2: Convert to fraction form
    68,119/101,206 = 101,206/x
  3. Step 3: Cross multiply
    68,119x = 101,206 × 101,206
  4. Step 4: Simplify right side
    68,119x = 10,242,654,436
  5. Step 5: Solve for x
    x = 10,242,654,436/68,119
  6. Step 6: Final answer
    x = 150,364.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.