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Finding the Third Proportional to 54,967 and 119,776

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Solution

The third proportional to 54,967 and 119,776 is: 260,998.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,967 : 119,776 = 119,776 : x
  2. Step 2: Convert to fraction form
    54,967/119,776 = 119,776/x
  3. Step 3: Cross multiply
    54,967x = 119,776 × 119,776
  4. Step 4: Simplify right side
    54,967x = 14,346,290,176
  5. Step 5: Solve for x
    x = 14,346,290,176/54,967
  6. Step 6: Final answer
    x = 260,998.24

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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.