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Finding the Third Proportional to 72,675.75 and 156,439.50

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Solution

The third proportional to 72,675.75 and 156,439.50 is: 336,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,675.75 : 156,439.50 = 156,439.50 : x
  2. Step 2: Convert to fraction form
    72,675.75/156,439.50 = 156,439.50/x
  3. Step 3: Cross multiply
    72,675.75x = 156,439.50 × 156,439.50
  4. Step 4: Simplify right side
    72,675.75x = 24,473,317,160.25
  5. Step 5: Solve for x
    x = 24,473,317,160.25/72,675.75
  6. Step 6: Final answer
    x = 336,746.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.