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Finding the Third Proportional to 40,827 and 88,134

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Solution

The third proportional to 40,827 and 88,134 is: 190,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,827 : 88,134 = 88,134 : x
  2. Step 2: Convert to fraction form
    40,827/88,134 = 88,134/x
  3. Step 3: Cross multiply
    40,827x = 88,134 × 88,134
  4. Step 4: Simplify right side
    40,827x = 7,767,601,956
  5. Step 5: Solve for x
    x = 7,767,601,956/40,827
  6. Step 6: Final answer
    x = 190,256.50

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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.