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Finding the Third Proportional to 54,642 and 119,213

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Solution

The third proportional to 54,642 and 119,213 is: 260,088.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,642 : 119,213 = 119,213 : x
  2. Step 2: Convert to fraction form
    54,642/119,213 = 119,213/x
  3. Step 3: Cross multiply
    54,642x = 119,213 × 119,213
  4. Step 4: Simplify right side
    54,642x = 14,211,739,369
  5. Step 5: Solve for x
    x = 14,211,739,369/54,642
  6. Step 6: Final answer
    x = 260,088.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.