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Finding the Third Proportional to 114,546 and 174,249

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Solution

The third proportional to 114,546 and 174,249 is: 265,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,546 : 174,249 = 174,249 : x
  2. Step 2: Convert to fraction form
    114,546/174,249 = 174,249/x
  3. Step 3: Cross multiply
    114,546x = 174,249 × 174,249
  4. Step 4: Simplify right side
    114,546x = 30,362,714,001
  5. Step 5: Solve for x
    x = 30,362,714,001/114,546
  6. Step 6: Final answer
    x = 265,070.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.