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Finding the Third Proportional to 82,247.63 and 123,979.50

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Solution

The third proportional to 82,247.63 and 123,979.50 is: 186,885.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,247.63 : 123,979.50 = 123,979.50 : x
  2. Step 2: Convert to fraction form
    82,247.63/123,979.50 = 123,979.50/x
  3. Step 3: Cross multiply
    82,247.63x = 123,979.50 × 123,979.50
  4. Step 4: Simplify right side
    82,247.63x = 15,370,916,420.25
  5. Step 5: Solve for x
    x = 15,370,916,420.25/82,247.63
  6. Step 6: Final answer
    x = 186,885.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.