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Finding the Third Proportional to 72,726 and 158,592

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Solution

The third proportional to 72,726 and 158,592 is: 345,838.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,726 : 158,592 = 158,592 : x
  2. Step 2: Convert to fraction form
    72,726/158,592 = 158,592/x
  3. Step 3: Cross multiply
    72,726x = 158,592 × 158,592
  4. Step 4: Simplify right side
    72,726x = 25,151,422,464
  5. Step 5: Solve for x
    x = 25,151,422,464/72,726
  6. Step 6: Final answer
    x = 345,838.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.