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Finding the Third Proportional to 44,141 and 67,232

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Solution

The third proportional to 44,141 and 67,232 is: 102,402.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,141 : 67,232 = 67,232 : x
  2. Step 2: Convert to fraction form
    44,141/67,232 = 67,232/x
  3. Step 3: Cross multiply
    44,141x = 67,232 × 67,232
  4. Step 4: Simplify right side
    44,141x = 4,520,141,824
  5. Step 5: Solve for x
    x = 4,520,141,824/44,141
  6. Step 6: Final answer
    x = 102,402.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.