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Finding the Third Proportional to 82,007 and 133,911

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Solution

The third proportional to 82,007 and 133,911 is: 218,666.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,007 : 133,911 = 133,911 : x
  2. Step 2: Convert to fraction form
    82,007/133,911 = 133,911/x
  3. Step 3: Cross multiply
    82,007x = 133,911 × 133,911
  4. Step 4: Simplify right side
    82,007x = 17,932,155,921
  5. Step 5: Solve for x
    x = 17,932,155,921/82,007
  6. Step 6: Final answer
    x = 218,666.16

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.