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Finding the Third Proportional to 82,368 and 125,328

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Solution

The third proportional to 82,368 and 125,328 is: 190,694.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,368 : 125,328 = 125,328 : x
  2. Step 2: Convert to fraction form
    82,368/125,328 = 125,328/x
  3. Step 3: Cross multiply
    82,368x = 125,328 × 125,328
  4. Step 4: Simplify right side
    82,368x = 15,707,107,584
  5. Step 5: Solve for x
    x = 15,707,107,584/82,368
  6. Step 6: Final answer
    x = 190,694.29

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.