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Finding the Third Proportional to 54,854 and 119,572

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Solution

The third proportional to 54,854 and 119,572 is: 260,645.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,854 : 119,572 = 119,572 : x
  2. Step 2: Convert to fraction form
    54,854/119,572 = 119,572/x
  3. Step 3: Cross multiply
    54,854x = 119,572 × 119,572
  4. Step 4: Simplify right side
    54,854x = 14,297,463,184
  5. Step 5: Solve for x
    x = 14,297,463,184/54,854
  6. Step 6: Final answer
    x = 260,645.77

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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.