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Finding the Third Proportional to 53,714 and 118,154

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Solution

The third proportional to 53,714 and 118,154 is: 259,901.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,714 : 118,154 = 118,154 : x
  2. Step 2: Convert to fraction form
    53,714/118,154 = 118,154/x
  3. Step 3: Cross multiply
    53,714x = 118,154 × 118,154
  4. Step 4: Simplify right side
    53,714x = 13,960,367,716
  5. Step 5: Solve for x
    x = 13,960,367,716/53,714
  6. Step 6: Final answer
    x = 259,901.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.