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Finding the Third Proportional to 72,996.19 and 156,905.44

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Solution

The third proportional to 72,996.19 and 156,905.44 is: 337,268.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,996.19 : 156,905.44 = 156,905.44 : x
  2. Step 2: Convert to fraction form
    72,996.19/156,905.44 = 156,905.44/x
  3. Step 3: Cross multiply
    72,996.19x = 156,905.44 × 156,905.44
  4. Step 4: Simplify right side
    72,996.19x = 24,619,316,317.07
  5. Step 5: Solve for x
    x = 24,619,316,317.07/72,996.19
  6. Step 6: Final answer
    x = 337,268.52

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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.