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Finding the Third Proportional to 72,626.75 and 157,317.50

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Solution

The third proportional to 72,626.75 and 157,317.50 is: 340,766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,626.75 : 157,317.50 = 157,317.50 : x
  2. Step 2: Convert to fraction form
    72,626.75/157,317.50 = 157,317.50/x
  3. Step 3: Cross multiply
    72,626.75x = 157,317.50 × 157,317.50
  4. Step 4: Simplify right side
    72,626.75x = 24,748,795,806.25
  5. Step 5: Solve for x
    x = 24,748,795,806.25/72,626.75
  6. Step 6: Final answer
    x = 340,766.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.