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Finding the Third Proportional to 57,858 and 124,572

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Solution

The third proportional to 57,858 and 124,572 is: 268,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,858 : 124,572 = 124,572 : x
  2. Step 2: Convert to fraction form
    57,858/124,572 = 124,572/x
  3. Step 3: Cross multiply
    57,858x = 124,572 × 124,572
  4. Step 4: Simplify right side
    57,858x = 15,518,183,184
  5. Step 5: Solve for x
    x = 15,518,183,184/57,858
  6. Step 6: Final answer
    x = 268,211.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.