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Finding the Third Proportional to 72,313.88 and 157,066.31

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Solution

The third proportional to 72,313.88 and 157,066.31 is: 341,149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,313.88 : 157,066.31 = 157,066.31 : x
  2. Step 2: Convert to fraction form
    72,313.88/157,066.31 = 157,066.31/x
  3. Step 3: Cross multiply
    72,313.88x = 157,066.31 × 157,066.31
  4. Step 4: Simplify right side
    72,313.88x = 24,669,826,522.35
  5. Step 5: Solve for x
    x = 24,669,826,522.35/72,313.88
  6. Step 6: Final answer
    x = 341,149.28

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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.