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Finding the Third Proportional to 51,664 and 77,152

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Solution

The third proportional to 51,664 and 77,152 is: 115,214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,664 : 77,152 = 77,152 : x
  2. Step 2: Convert to fraction form
    51,664/77,152 = 77,152/x
  3. Step 3: Cross multiply
    51,664x = 77,152 × 77,152
  4. Step 4: Simplify right side
    51,664x = 5,952,431,104
  5. Step 5: Solve for x
    x = 5,952,431,104/51,664
  6. Step 6: Final answer
    x = 115,214.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.