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Finding the Third Proportional to 87,491.50 and 128,139

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Solution

The third proportional to 87,491.50 and 128,139 is: 187,670.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,491.50 : 128,139 = 128,139 : x
  2. Step 2: Convert to fraction form
    87,491.50/128,139 = 128,139/x
  3. Step 3: Cross multiply
    87,491.50x = 128,139 × 128,139
  4. Step 4: Simplify right side
    87,491.50x = 16,419,603,321
  5. Step 5: Solve for x
    x = 16,419,603,321/87,491.50
  6. Step 6: Final answer
    x = 187,670.84

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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.