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Finding the Third Proportional to 92,446.31 and 141,152.63

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Solution

The third proportional to 92,446.31 and 141,152.63 is: 215,520.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,446.31 : 141,152.63 = 141,152.63 : x
  2. Step 2: Convert to fraction form
    92,446.31/141,152.63 = 141,152.63/x
  3. Step 3: Cross multiply
    92,446.31x = 141,152.63 × 141,152.63
  4. Step 4: Simplify right side
    92,446.31x = 19,924,063,544.39
  5. Step 5: Solve for x
    x = 19,924,063,544.39/92,446.31
  6. Step 6: Final answer
    x = 215,520.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.