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Finding the Third Proportional to 105,498 and 140,928

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Solution

The third proportional to 105,498 and 140,928 is: 188,256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,498 : 140,928 = 140,928 : x
  2. Step 2: Convert to fraction form
    105,498/140,928 = 140,928/x
  3. Step 3: Cross multiply
    105,498x = 140,928 × 140,928
  4. Step 4: Simplify right side
    105,498x = 19,860,701,184
  5. Step 5: Solve for x
    x = 19,860,701,184/105,498
  6. Step 6: Final answer
    x = 188,256.66

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.