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Finding the Third Proportional to 127,818 and 175,324.50

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Solution

The third proportional to 127,818 and 175,324.50 is: 240,487.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,818 : 175,324.50 = 175,324.50 : x
  2. Step 2: Convert to fraction form
    127,818/175,324.50 = 175,324.50/x
  3. Step 3: Cross multiply
    127,818x = 175,324.50 × 175,324.50
  4. Step 4: Simplify right side
    127,818x = 30,738,680,300.25
  5. Step 5: Solve for x
    x = 30,738,680,300.25/127,818
  6. Step 6: Final answer
    x = 240,487.88

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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.