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Finding the Third Proportional to 82,700 and 131,433

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Solution

The third proportional to 82,700 and 131,433 is: 208,883.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,700 : 131,433 = 131,433 : x
  2. Step 2: Convert to fraction form
    82,700/131,433 = 131,433/x
  3. Step 3: Cross multiply
    82,700x = 131,433 × 131,433
  4. Step 4: Simplify right side
    82,700x = 17,274,633,489
  5. Step 5: Solve for x
    x = 17,274,633,489/82,700
  6. Step 6: Final answer
    x = 208,883.11

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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.