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Finding the Third Proportional to 86,760 and 127,404

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Solution

The third proportional to 86,760 and 127,404 is: 187,088.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,760 : 127,404 = 127,404 : x
  2. Step 2: Convert to fraction form
    86,760/127,404 = 127,404/x
  3. Step 3: Cross multiply
    86,760x = 127,404 × 127,404
  4. Step 4: Simplify right side
    86,760x = 16,231,779,216
  5. Step 5: Solve for x
    x = 16,231,779,216/86,760
  6. Step 6: Final answer
    x = 187,088.28

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.