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Finding the Third Proportional to 54,484 and 117,310

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Solution

The third proportional to 54,484 and 117,310 is: 252,581.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,484 : 117,310 = 117,310 : x
  2. Step 2: Convert to fraction form
    54,484/117,310 = 117,310/x
  3. Step 3: Cross multiply
    54,484x = 117,310 × 117,310
  4. Step 4: Simplify right side
    54,484x = 13,761,636,100
  5. Step 5: Solve for x
    x = 13,761,636,100/54,484
  6. Step 6: Final answer
    x = 252,581.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.