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Finding the Third Proportional to 54,407 and 119,506

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Solution

The third proportional to 54,407 and 119,506 is: 262,497.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,407 : 119,506 = 119,506 : x
  2. Step 2: Convert to fraction form
    54,407/119,506 = 119,506/x
  3. Step 3: Cross multiply
    54,407x = 119,506 × 119,506
  4. Step 4: Simplify right side
    54,407x = 14,281,684,036
  5. Step 5: Solve for x
    x = 14,281,684,036/54,407
  6. Step 6: Final answer
    x = 262,497.18

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Why These Related Problems?

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