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Finding the Third Proportional to 80,235 and 114,610.50

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Solution

The third proportional to 80,235 and 114,610.50 is: 163,713.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,235 : 114,610.50 = 114,610.50 : x
  2. Step 2: Convert to fraction form
    80,235/114,610.50 = 114,610.50/x
  3. Step 3: Cross multiply
    80,235x = 114,610.50 × 114,610.50
  4. Step 4: Simplify right side
    80,235x = 13,135,566,710.25
  5. Step 5: Solve for x
    x = 13,135,566,710.25/80,235
  6. Step 6: Final answer
    x = 163,713.67

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.