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Finding the Third Proportional to 88,137.50 and 128,514.50

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Solution

The third proportional to 88,137.50 and 128,514.50 is: 187,388.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,137.50 : 128,514.50 = 128,514.50 : x
  2. Step 2: Convert to fraction form
    88,137.50/128,514.50 = 128,514.50/x
  3. Step 3: Cross multiply
    88,137.50x = 128,514.50 × 128,514.50
  4. Step 4: Simplify right side
    88,137.50x = 16,515,976,710.25
  5. Step 5: Solve for x
    x = 16,515,976,710.25/88,137.50
  6. Step 6: Final answer
    x = 187,388.76

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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.