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Finding the Third Proportional to 103,670 and 140,671

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Solution

The third proportional to 103,670 and 140,671 is: 190,878.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,670 : 140,671 = 140,671 : x
  2. Step 2: Convert to fraction form
    103,670/140,671 = 140,671/x
  3. Step 3: Cross multiply
    103,670x = 140,671 × 140,671
  4. Step 4: Simplify right side
    103,670x = 19,788,330,241
  5. Step 5: Solve for x
    x = 19,788,330,241/103,670
  6. Step 6: Final answer
    x = 190,878.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.