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Finding the Third Proportional to 133,046 and 191,263

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Solution

The third proportional to 133,046 and 191,263 is: 274,954.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,046 : 191,263 = 191,263 : x
  2. Step 2: Convert to fraction form
    133,046/191,263 = 191,263/x
  3. Step 3: Cross multiply
    133,046x = 191,263 × 191,263
  4. Step 4: Simplify right side
    133,046x = 36,581,535,169
  5. Step 5: Solve for x
    x = 36,581,535,169/133,046
  6. Step 6: Final answer
    x = 274,954.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.