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Finding the Third Proportional to 134,472 and 182,716

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Solution

The third proportional to 134,472 and 182,716 is: 248,268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,472 : 182,716 = 182,716 : x
  2. Step 2: Convert to fraction form
    134,472/182,716 = 182,716/x
  3. Step 3: Cross multiply
    134,472x = 182,716 × 182,716
  4. Step 4: Simplify right side
    134,472x = 33,385,136,656
  5. Step 5: Solve for x
    x = 33,385,136,656/134,472
  6. Step 6: Final answer
    x = 248,268.31

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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.