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Finding the Third Proportional to 57,946 and 92,103

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Solution

The third proportional to 57,946 and 92,103 is: 146,394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,946 : 92,103 = 92,103 : x
  2. Step 2: Convert to fraction form
    57,946/92,103 = 92,103/x
  3. Step 3: Cross multiply
    57,946x = 92,103 × 92,103
  4. Step 4: Simplify right side
    57,946x = 8,482,962,609
  5. Step 5: Solve for x
    x = 8,482,962,609/57,946
  6. Step 6: Final answer
    x = 146,394.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.