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Finding the Third Proportional to 133,106 and 201,046

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Solution

The third proportional to 133,106 and 201,046 is: 303,663.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,106 : 201,046 = 201,046 : x
  2. Step 2: Convert to fraction form
    133,106/201,046 = 201,046/x
  3. Step 3: Cross multiply
    133,106x = 201,046 × 201,046
  4. Step 4: Simplify right side
    133,106x = 40,419,494,116
  5. Step 5: Solve for x
    x = 40,419,494,116/133,106
  6. Step 6: Final answer
    x = 303,663.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.