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Finding the Third Proportional to 134,320 and 182,531

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Solution

The third proportional to 134,320 and 182,531 is: 248,046.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,320 : 182,531 = 182,531 : x
  2. Step 2: Convert to fraction form
    134,320/182,531 = 182,531/x
  3. Step 3: Cross multiply
    134,320x = 182,531 × 182,531
  4. Step 4: Simplify right side
    134,320x = 33,317,565,961
  5. Step 5: Solve for x
    x = 33,317,565,961/134,320
  6. Step 6: Final answer
    x = 248,046.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.