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Finding the Third Proportional to 72,733 and 115,664

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Solution

The third proportional to 72,733 and 115,664 is: 183,935.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,733 : 115,664 = 115,664 : x
  2. Step 2: Convert to fraction form
    72,733/115,664 = 115,664/x
  3. Step 3: Cross multiply
    72,733x = 115,664 × 115,664
  4. Step 4: Simplify right side
    72,733x = 13,378,160,896
  5. Step 5: Solve for x
    x = 13,378,160,896/72,733
  6. Step 6: Final answer
    x = 183,935.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.