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Finding the Third Proportional to 51,653 and 73,114

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Solution

The third proportional to 51,653 and 73,114 is: 103,491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,653 : 73,114 = 73,114 : x
  2. Step 2: Convert to fraction form
    51,653/73,114 = 73,114/x
  3. Step 3: Cross multiply
    51,653x = 73,114 × 73,114
  4. Step 4: Simplify right side
    51,653x = 5,345,656,996
  5. Step 5: Solve for x
    x = 5,345,656,996/51,653
  6. Step 6: Final answer
    x = 103,491.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.