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Finding the Third Proportional to 65,596.50 and 143,051.06

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Solution

The third proportional to 65,596.50 and 143,051.06 is: 311,961.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,596.50 : 143,051.06 = 143,051.06 : x
  2. Step 2: Convert to fraction form
    65,596.50/143,051.06 = 143,051.06/x
  3. Step 3: Cross multiply
    65,596.50x = 143,051.06 × 143,051.06
  4. Step 4: Simplify right side
    65,596.50x = 20,463,606,482.38
  5. Step 5: Solve for x
    x = 20,463,606,482.38/65,596.50
  6. Step 6: Final answer
    x = 311,961.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.