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Finding the Third Proportional to 114,878 and 171,627

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Solution

The third proportional to 114,878 and 171,627 is: 256,409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,878 : 171,627 = 171,627 : x
  2. Step 2: Convert to fraction form
    114,878/171,627 = 171,627/x
  3. Step 3: Cross multiply
    114,878x = 171,627 × 171,627
  4. Step 4: Simplify right side
    114,878x = 29,455,827,129
  5. Step 5: Solve for x
    x = 29,455,827,129/114,878
  6. Step 6: Final answer
    x = 256,409.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.