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Finding the Third Proportional to 118,922 and 183,714

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Solution

The third proportional to 118,922 and 183,714 is: 283,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,922 : 183,714 = 183,714 : x
  2. Step 2: Convert to fraction form
    118,922/183,714 = 183,714/x
  3. Step 3: Cross multiply
    118,922x = 183,714 × 183,714
  4. Step 4: Simplify right side
    118,922x = 33,750,833,796
  5. Step 5: Solve for x
    x = 33,750,833,796/118,922
  6. Step 6: Final answer
    x = 283,806.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.