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Finding the Third Proportional to 133,098 and 201,033

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Solution

The third proportional to 133,098 and 201,033 is: 303,642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,098 : 201,033 = 201,033 : x
  2. Step 2: Convert to fraction form
    133,098/201,033 = 201,033/x
  3. Step 3: Cross multiply
    133,098x = 201,033 × 201,033
  4. Step 4: Simplify right side
    133,098x = 40,414,267,089
  5. Step 5: Solve for x
    x = 40,414,267,089/133,098
  6. Step 6: Final answer
    x = 303,642.93

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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.