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Finding the Third Proportional to 54,825 and 117,426

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Solution

The third proportional to 54,825 and 117,426 is: 251,506.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,825 : 117,426 = 117,426 : x
  2. Step 2: Convert to fraction form
    54,825/117,426 = 117,426/x
  3. Step 3: Cross multiply
    54,825x = 117,426 × 117,426
  4. Step 4: Simplify right side
    54,825x = 13,788,865,476
  5. Step 5: Solve for x
    x = 13,788,865,476/54,825
  6. Step 6: Final answer
    x = 251,506.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.