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Finding the Third Proportional to 72,941 and 115,352

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Solution

The third proportional to 72,941 and 115,352 is: 182,422.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,941 : 115,352 = 115,352 : x
  2. Step 2: Convert to fraction form
    72,941/115,352 = 115,352/x
  3. Step 3: Cross multiply
    72,941x = 115,352 × 115,352
  4. Step 4: Simplify right side
    72,941x = 13,306,083,904
  5. Step 5: Solve for x
    x = 13,306,083,904/72,941
  6. Step 6: Final answer
    x = 182,422.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.