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Finding the Third Proportional to 124,812 and 274,572

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Solution

The third proportional to 124,812 and 274,572 is: 604,026.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,812 : 274,572 = 274,572 : x
  2. Step 2: Convert to fraction form
    124,812/274,572 = 274,572/x
  3. Step 3: Cross multiply
    124,812x = 274,572 × 274,572
  4. Step 4: Simplify right side
    124,812x = 75,389,783,184
  5. Step 5: Solve for x
    x = 75,389,783,184/124,812
  6. Step 6: Final answer
    x = 604,026.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.