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Finding the Third Proportional to 112,256.50 and 133,015.50

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Solution

The third proportional to 112,256.50 and 133,015.50 is: 157,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,256.50 : 133,015.50 = 133,015.50 : x
  2. Step 2: Convert to fraction form
    112,256.50/133,015.50 = 133,015.50/x
  3. Step 3: Cross multiply
    112,256.50x = 133,015.50 × 133,015.50
  4. Step 4: Simplify right side
    112,256.50x = 17,693,123,240.25
  5. Step 5: Solve for x
    x = 17,693,123,240.25/112,256.50
  6. Step 6: Final answer
    x = 157,613.35

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.