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Finding the Third Proportional to 133,051 and 194,623

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Solution

The third proportional to 133,051 and 194,623 is: 284,688.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,051 : 194,623 = 194,623 : x
  2. Step 2: Convert to fraction form
    133,051/194,623 = 194,623/x
  3. Step 3: Cross multiply
    133,051x = 194,623 × 194,623
  4. Step 4: Simplify right side
    133,051x = 37,878,112,129
  5. Step 5: Solve for x
    x = 37,878,112,129/133,051
  6. Step 6: Final answer
    x = 284,688.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.