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Finding the Third Proportional to 65,653.50 and 143,186

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Solution

The third proportional to 65,653.50 and 143,186 is: 312,279.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,653.50 : 143,186 = 143,186 : x
  2. Step 2: Convert to fraction form
    65,653.50/143,186 = 143,186/x
  3. Step 3: Cross multiply
    65,653.50x = 143,186 × 143,186
  4. Step 4: Simplify right side
    65,653.50x = 20,502,230,596
  5. Step 5: Solve for x
    x = 20,502,230,596/65,653.50
  6. Step 6: Final answer
    x = 312,279.32

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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.