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Finding the Third Proportional to 54,459 and 118,607.25

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Solution

The third proportional to 54,459 and 118,607.25 is: 258,316.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,459 : 118,607.25 = 118,607.25 : x
  2. Step 2: Convert to fraction form
    54,459/118,607.25 = 118,607.25/x
  3. Step 3: Cross multiply
    54,459x = 118,607.25 × 118,607.25
  4. Step 4: Simplify right side
    54,459x = 14,067,679,752.56
  5. Step 5: Solve for x
    x = 14,067,679,752.56/54,459
  6. Step 6: Final answer
    x = 258,316.89

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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.