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Finding the Third Proportional to 112,573.50 and 171,182.50

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Solution

The third proportional to 112,573.50 and 171,182.50 is: 260,305.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,573.50 : 171,182.50 = 171,182.50 : x
  2. Step 2: Convert to fraction form
    112,573.50/171,182.50 = 171,182.50/x
  3. Step 3: Cross multiply
    112,573.50x = 171,182.50 × 171,182.50
  4. Step 4: Simplify right side
    112,573.50x = 29,303,448,306.25
  5. Step 5: Solve for x
    x = 29,303,448,306.25/112,573.50
  6. Step 6: Final answer
    x = 260,305.03

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.