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Finding the Third Proportional to 72,626.63 and 156,723.75

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Solution

The third proportional to 72,626.63 and 156,723.75 is: 338,200.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,626.63 : 156,723.75 = 156,723.75 : x
  2. Step 2: Convert to fraction form
    72,626.63/156,723.75 = 156,723.75/x
  3. Step 3: Cross multiply
    72,626.63x = 156,723.75 × 156,723.75
  4. Step 4: Simplify right side
    72,626.63x = 24,562,333,814.06
  5. Step 5: Solve for x
    x = 24,562,333,814.06/72,626.63
  6. Step 6: Final answer
    x = 338,200.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.