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Finding the Third Proportional to 72,706 and 158,570

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Solution

The third proportional to 72,706 and 158,570 is: 345,837.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,706 : 158,570 = 158,570 : x
  2. Step 2: Convert to fraction form
    72,706/158,570 = 158,570/x
  3. Step 3: Cross multiply
    72,706x = 158,570 × 158,570
  4. Step 4: Simplify right side
    72,706x = 25,144,444,900
  5. Step 5: Solve for x
    x = 25,144,444,900/72,706
  6. Step 6: Final answer
    x = 345,837.27

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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.