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Finding the Third Proportional to 118,714.50 and 252,873

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Solution

The third proportional to 118,714.50 and 252,873 is: 538,643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,714.50 : 252,873 = 252,873 : x
  2. Step 2: Convert to fraction form
    118,714.50/252,873 = 252,873/x
  3. Step 3: Cross multiply
    118,714.50x = 252,873 × 252,873
  4. Step 4: Simplify right side
    118,714.50x = 63,944,754,129
  5. Step 5: Solve for x
    x = 63,944,754,129/118,714.50
  6. Step 6: Final answer
    x = 538,643.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.