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Finding the Third Proportional to 72,272 and 158,152

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Solution

The third proportional to 72,272 and 158,152 is: 346,082.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,272 : 158,152 = 158,152 : x
  2. Step 2: Convert to fraction form
    72,272/158,152 = 158,152/x
  3. Step 3: Cross multiply
    72,272x = 158,152 × 158,152
  4. Step 4: Simplify right side
    72,272x = 25,012,055,104
  5. Step 5: Solve for x
    x = 25,012,055,104/72,272
  6. Step 6: Final answer
    x = 346,082.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.