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Finding the Third Proportional to 87,096.75 and 127,284

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Solution

The third proportional to 87,096.75 and 127,284 is: 186,014.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,096.75 : 127,284 = 127,284 : x
  2. Step 2: Convert to fraction form
    87,096.75/127,284 = 127,284/x
  3. Step 3: Cross multiply
    87,096.75x = 127,284 × 127,284
  4. Step 4: Simplify right side
    87,096.75x = 16,201,216,656
  5. Step 5: Solve for x
    x = 16,201,216,656/87,096.75
  6. Step 6: Final answer
    x = 186,014.02

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.