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Finding the Third Proportional to 127,066.50 and 276,270

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Solution

The third proportional to 127,066.50 and 276,270 is: 600,670.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,066.50 : 276,270 = 276,270 : x
  2. Step 2: Convert to fraction form
    127,066.50/276,270 = 276,270/x
  3. Step 3: Cross multiply
    127,066.50x = 276,270 × 276,270
  4. Step 4: Simplify right side
    127,066.50x = 76,325,112,900
  5. Step 5: Solve for x
    x = 76,325,112,900/127,066.50
  6. Step 6: Final answer
    x = 600,670.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.