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Finding the Third Proportional to 72,435.38 and 156,929.63

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Solution

The third proportional to 72,435.38 and 156,929.63 is: 339,984.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,435.38 : 156,929.63 = 156,929.63 : x
  2. Step 2: Convert to fraction form
    72,435.38/156,929.63 = 156,929.63/x
  3. Step 3: Cross multiply
    72,435.38x = 156,929.63 × 156,929.63
  4. Step 4: Simplify right side
    72,435.38x = 24,626,907,202.64
  5. Step 5: Solve for x
    x = 24,626,907,202.64/72,435.38
  6. Step 6: Final answer
    x = 339,984.53

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