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Finding the Third Proportional to 53,000 and 117,664

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Solution

The third proportional to 53,000 and 117,664 is: 261,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,000 : 117,664 = 117,664 : x
  2. Step 2: Convert to fraction form
    53,000/117,664 = 117,664/x
  3. Step 3: Cross multiply
    53,000x = 117,664 × 117,664
  4. Step 4: Simplify right side
    53,000x = 13,844,816,896
  5. Step 5: Solve for x
    x = 13,844,816,896/53,000
  6. Step 6: Final answer
    x = 261,222.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.