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Finding the Third Proportional to 54,842 and 119,548

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Solution

The third proportional to 54,842 and 119,548 is: 260,598.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,842 : 119,548 = 119,548 : x
  2. Step 2: Convert to fraction form
    54,842/119,548 = 119,548/x
  3. Step 3: Cross multiply
    54,842x = 119,548 × 119,548
  4. Step 4: Simplify right side
    54,842x = 14,291,724,304
  5. Step 5: Solve for x
    x = 14,291,724,304/54,842
  6. Step 6: Final answer
    x = 260,598.16

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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.