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Finding the Third Proportional to 112,117.50 and 173,780.44

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Solution

The third proportional to 112,117.50 and 173,780.44 is: 269,357.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,117.50 : 173,780.44 = 173,780.44 : x
  2. Step 2: Convert to fraction form
    112,117.50/173,780.44 = 173,780.44/x
  3. Step 3: Cross multiply
    112,117.50x = 173,780.44 × 173,780.44
  4. Step 4: Simplify right side
    112,117.50x = 30,199,640,457.69
  5. Step 5: Solve for x
    x = 30,199,640,457.69/112,117.50
  6. Step 6: Final answer
    x = 269,357.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.