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Finding the Third Proportional to 72,285.75 and 156,638.25

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Solution

The third proportional to 72,285.75 and 156,638.25 is: 339,424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,285.75 : 156,638.25 = 156,638.25 : x
  2. Step 2: Convert to fraction form
    72,285.75/156,638.25 = 156,638.25/x
  3. Step 3: Cross multiply
    72,285.75x = 156,638.25 × 156,638.25
  4. Step 4: Simplify right side
    72,285.75x = 24,535,541,363.06
  5. Step 5: Solve for x
    x = 24,535,541,363.06/72,285.75
  6. Step 6: Final answer
    x = 339,424.32

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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.