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Finding the Third Proportional to 40,524 and 88,141

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Solution

The third proportional to 40,524 and 88,141 is: 191,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,524 : 88,141 = 88,141 : x
  2. Step 2: Convert to fraction form
    40,524/88,141 = 88,141/x
  3. Step 3: Cross multiply
    40,524x = 88,141 × 88,141
  4. Step 4: Simplify right side
    40,524x = 7,768,835,881
  5. Step 5: Solve for x
    x = 7,768,835,881/40,524
  6. Step 6: Final answer
    x = 191,709.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.