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Finding the Third Proportional to 72,252 and 115,374

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Solution

The third proportional to 72,252 and 115,374 is: 184,232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,252 : 115,374 = 115,374 : x
  2. Step 2: Convert to fraction form
    72,252/115,374 = 115,374/x
  3. Step 3: Cross multiply
    72,252x = 115,374 × 115,374
  4. Step 4: Simplify right side
    72,252x = 13,311,159,876
  5. Step 5: Solve for x
    x = 13,311,159,876/72,252
  6. Step 6: Final answer
    x = 184,232.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.