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Finding the Third Proportional to 53,614.50 and 78,861.38

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Solution

The third proportional to 53,614.50 and 78,861.38 is: 115,996.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,614.50 : 78,861.38 = 78,861.38 : x
  2. Step 2: Convert to fraction form
    53,614.50/78,861.38 = 78,861.38/x
  3. Step 3: Cross multiply
    53,614.50x = 78,861.38 × 78,861.38
  4. Step 4: Simplify right side
    53,614.50x = 6,219,116,466.89
  5. Step 5: Solve for x
    x = 6,219,116,466.89/53,614.50
  6. Step 6: Final answer
    x = 115,996.91

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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.