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Finding the Third Proportional to 54,654 and 118,596

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Solution

The third proportional to 54,654 and 118,596 is: 257,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,654 : 118,596 = 118,596 : x
  2. Step 2: Convert to fraction form
    54,654/118,596 = 118,596/x
  3. Step 3: Cross multiply
    54,654x = 118,596 × 118,596
  4. Step 4: Simplify right side
    54,654x = 14,065,011,216
  5. Step 5: Solve for x
    x = 14,065,011,216/54,654
  6. Step 6: Final answer
    x = 257,346.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.