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Finding the Third Proportional to 96,313.50 and 143,450.25

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Solution

The third proportional to 96,313.50 and 143,450.25 is: 213,656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,313.50 : 143,450.25 = 143,450.25 : x
  2. Step 2: Convert to fraction form
    96,313.50/143,450.25 = 143,450.25/x
  3. Step 3: Cross multiply
    96,313.50x = 143,450.25 × 143,450.25
  4. Step 4: Simplify right side
    96,313.50x = 20,577,974,225.06
  5. Step 5: Solve for x
    x = 20,577,974,225.06/96,313.50
  6. Step 6: Final answer
    x = 213,656.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.