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Finding the Third Proportional to 73,089 and 157,457.25

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Solution

The third proportional to 73,089 and 157,457.25 is: 339,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,089 : 157,457.25 = 157,457.25 : x
  2. Step 2: Convert to fraction form
    73,089/157,457.25 = 157,457.25/x
  3. Step 3: Cross multiply
    73,089x = 157,457.25 × 157,457.25
  4. Step 4: Simplify right side
    73,089x = 24,792,785,577.56
  5. Step 5: Solve for x
    x = 24,792,785,577.56/73,089
  6. Step 6: Final answer
    x = 339,213.64

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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.