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Finding the Third Proportional to 72,995 and 157,384

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Solution

The third proportional to 72,995 and 157,384 is: 339,334.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,995 : 157,384 = 157,384 : x
  2. Step 2: Convert to fraction form
    72,995/157,384 = 157,384/x
  3. Step 3: Cross multiply
    72,995x = 157,384 × 157,384
  4. Step 4: Simplify right side
    72,995x = 24,769,723,456
  5. Step 5: Solve for x
    x = 24,769,723,456/72,995
  6. Step 6: Final answer
    x = 339,334.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.