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Finding the Third Proportional to 82,907 and 131,477

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Solution

The third proportional to 82,907 and 131,477 is: 208,501.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,907 : 131,477 = 131,477 : x
  2. Step 2: Convert to fraction form
    82,907/131,477 = 131,477/x
  3. Step 3: Cross multiply
    82,907x = 131,477 × 131,477
  4. Step 4: Simplify right side
    82,907x = 17,286,201,529
  5. Step 5: Solve for x
    x = 17,286,201,529/82,907
  6. Step 6: Final answer
    x = 208,501.11

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.