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Finding the Third Proportional to 72,012.75 and 112,096.50

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Solution

The third proportional to 72,012.75 and 112,096.50 is: 174,491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,012.75 : 112,096.50 = 112,096.50 : x
  2. Step 2: Convert to fraction form
    72,012.75/112,096.50 = 112,096.50/x
  3. Step 3: Cross multiply
    72,012.75x = 112,096.50 × 112,096.50
  4. Step 4: Simplify right side
    72,012.75x = 12,565,625,312.25
  5. Step 5: Solve for x
    x = 12,565,625,312.25/72,012.75
  6. Step 6: Final answer
    x = 174,491.67

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.