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Finding the Third Proportional to 133,088 and 199,632

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Solution

The third proportional to 133,088 and 199,632 is: 299,448

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,088 : 199,632 = 199,632 : x
  2. Step 2: Convert to fraction form
    133,088/199,632 = 199,632/x
  3. Step 3: Cross multiply
    133,088x = 199,632 × 199,632
  4. Step 4: Simplify right side
    133,088x = 39,852,935,424
  5. Step 5: Solve for x
    x = 39,852,935,424/133,088
  6. Step 6: Final answer
    x = 299,448

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.