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Finding the Third Proportional to 128,962 and 182,643

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Solution

The third proportional to 128,962 and 182,643 is: 258,668.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,962 : 182,643 = 182,643 : x
  2. Step 2: Convert to fraction form
    128,962/182,643 = 182,643/x
  3. Step 3: Cross multiply
    128,962x = 182,643 × 182,643
  4. Step 4: Simplify right side
    128,962x = 33,358,465,449
  5. Step 5: Solve for x
    x = 33,358,465,449/128,962
  6. Step 6: Final answer
    x = 258,668.95

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.