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Finding the Third Proportional to 88,137.50 and 128,514.75

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Solution

The third proportional to 88,137.50 and 128,514.75 is: 187,389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,137.50 : 128,514.75 = 128,514.75 : x
  2. Step 2: Convert to fraction form
    88,137.50/128,514.75 = 128,514.75/x
  3. Step 3: Cross multiply
    88,137.50x = 128,514.75 × 128,514.75
  4. Step 4: Simplify right side
    88,137.50x = 16,516,040,967.56
  5. Step 5: Solve for x
    x = 16,516,040,967.56/88,137.50
  6. Step 6: Final answer
    x = 187,389.49

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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.