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Finding the Third Proportional to 127,116.50 and 174,306

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Solution

The third proportional to 127,116.50 and 174,306 is: 239,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,116.50 : 174,306 = 174,306 : x
  2. Step 2: Convert to fraction form
    127,116.50/174,306 = 174,306/x
  3. Step 3: Cross multiply
    127,116.50x = 174,306 × 174,306
  4. Step 4: Simplify right side
    127,116.50x = 30,382,581,636
  5. Step 5: Solve for x
    x = 30,382,581,636/127,116.50
  6. Step 6: Final answer
    x = 239,013.67

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.