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Finding the Third Proportional to 114,129 and 171,539

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Solution

The third proportional to 114,129 and 171,539 is: 257,827.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,129 : 171,539 = 171,539 : x
  2. Step 2: Convert to fraction form
    114,129/171,539 = 171,539/x
  3. Step 3: Cross multiply
    114,129x = 171,539 × 171,539
  4. Step 4: Simplify right side
    114,129x = 29,425,628,521
  5. Step 5: Solve for x
    x = 29,425,628,521/114,129
  6. Step 6: Final answer
    x = 257,827.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.