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Finding the Third Proportional to 112,995 and 170,950.50

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Solution

The third proportional to 112,995 and 170,950.50 is: 258,631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,995 : 170,950.50 = 170,950.50 : x
  2. Step 2: Convert to fraction form
    112,995/170,950.50 = 170,950.50/x
  3. Step 3: Cross multiply
    112,995x = 170,950.50 × 170,950.50
  4. Step 4: Simplify right side
    112,995x = 29,224,073,450.25
  5. Step 5: Solve for x
    x = 29,224,073,450.25/112,995
  6. Step 6: Final answer
    x = 258,631.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.