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Finding the Third Proportional to 105,484 and 140,908

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Solution

The third proportional to 105,484 and 140,908 is: 188,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,484 : 140,908 = 140,908 : x
  2. Step 2: Convert to fraction form
    105,484/140,908 = 140,908/x
  3. Step 3: Cross multiply
    105,484x = 140,908 × 140,908
  4. Step 4: Simplify right side
    105,484x = 19,855,064,464
  5. Step 5: Solve for x
    x = 19,855,064,464/105,484
  6. Step 6: Final answer
    x = 188,228.21

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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.