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Finding the Third Proportional to 42,942.50 and 63,131

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Solution

The third proportional to 42,942.50 and 63,131 is: 92,810.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,942.50 : 63,131 = 63,131 : x
  2. Step 2: Convert to fraction form
    42,942.50/63,131 = 63,131/x
  3. Step 3: Cross multiply
    42,942.50x = 63,131 × 63,131
  4. Step 4: Simplify right side
    42,942.50x = 3,985,523,161
  5. Step 5: Solve for x
    x = 3,985,523,161/42,942.50
  6. Step 6: Final answer
    x = 92,810.69

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.