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Finding the Third Proportional to 51,916 and 78,900

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Solution

The third proportional to 51,916 and 78,900 is: 119,909.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,916 : 78,900 = 78,900 : x
  2. Step 2: Convert to fraction form
    51,916/78,900 = 78,900/x
  3. Step 3: Cross multiply
    51,916x = 78,900 × 78,900
  4. Step 4: Simplify right side
    51,916x = 6,225,210,000
  5. Step 5: Solve for x
    x = 6,225,210,000/51,916
  6. Step 6: Final answer
    x = 119,909.28

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.