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Finding the Third Proportional to 135,368 and 199,128

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Solution

The third proportional to 135,368 and 199,128 is: 292,919.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,368 : 199,128 = 199,128 : x
  2. Step 2: Convert to fraction form
    135,368/199,128 = 199,128/x
  3. Step 3: Cross multiply
    135,368x = 199,128 × 199,128
  4. Step 4: Simplify right side
    135,368x = 39,651,960,384
  5. Step 5: Solve for x
    x = 39,651,960,384/135,368
  6. Step 6: Final answer
    x = 292,919.75

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.