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Finding the Third Proportional to 82,960 and 124,436

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Solution

The third proportional to 82,960 and 124,436 is: 186,648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,960 : 124,436 = 124,436 : x
  2. Step 2: Convert to fraction form
    82,960/124,436 = 124,436/x
  3. Step 3: Cross multiply
    82,960x = 124,436 × 124,436
  4. Step 4: Simplify right side
    82,960x = 15,484,318,096
  5. Step 5: Solve for x
    x = 15,484,318,096/82,960
  6. Step 6: Final answer
    x = 186,648.00

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