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Finding the Third Proportional to 73,058.63 and 157,403.25

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Solution

The third proportional to 73,058.63 and 157,403.25 is: 339,121.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,058.63 : 157,403.25 = 157,403.25 : x
  2. Step 2: Convert to fraction form
    73,058.63/157,403.25 = 157,403.25/x
  3. Step 3: Cross multiply
    73,058.63x = 157,403.25 × 157,403.25
  4. Step 4: Simplify right side
    73,058.63x = 24,775,783,110.56
  5. Step 5: Solve for x
    x = 24,775,783,110.56/73,058.63
  6. Step 6: Final answer
    x = 339,121.95

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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.