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Finding the Third Proportional to 65,502 and 140,350.50

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Solution

The third proportional to 65,502 and 140,350.50 is: 300,727.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,502 : 140,350.50 = 140,350.50 : x
  2. Step 2: Convert to fraction form
    65,502/140,350.50 = 140,350.50/x
  3. Step 3: Cross multiply
    65,502x = 140,350.50 × 140,350.50
  4. Step 4: Simplify right side
    65,502x = 19,698,262,850.25
  5. Step 5: Solve for x
    x = 19,698,262,850.25/65,502
  6. Step 6: Final answer
    x = 300,727.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.