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Finding the Third Proportional to 65,550 and 143,950.50

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Solution

The third proportional to 65,550 and 143,950.50 is: 316,121.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,550 : 143,950.50 = 143,950.50 : x
  2. Step 2: Convert to fraction form
    65,550/143,950.50 = 143,950.50/x
  3. Step 3: Cross multiply
    65,550x = 143,950.50 × 143,950.50
  4. Step 4: Simplify right side
    65,550x = 20,721,746,450.25
  5. Step 5: Solve for x
    x = 20,721,746,450.25/65,550
  6. Step 6: Final answer
    x = 316,121.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.