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Finding the Third Proportional to 82,420 and 124,014

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Solution

The third proportional to 82,420 and 124,014 is: 186,598.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,420 : 124,014 = 124,014 : x
  2. Step 2: Convert to fraction form
    82,420/124,014 = 124,014/x
  3. Step 3: Cross multiply
    82,420x = 124,014 × 124,014
  4. Step 4: Simplify right side
    82,420x = 15,379,472,196
  5. Step 5: Solve for x
    x = 15,379,472,196/82,420
  6. Step 6: Final answer
    x = 186,598.79

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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.