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Finding the Third Proportional to 71,570 and 157,300

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Solution

The third proportional to 71,570 and 157,300 is: 345,721.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,570 : 157,300 = 157,300 : x
  2. Step 2: Convert to fraction form
    71,570/157,300 = 157,300/x
  3. Step 3: Cross multiply
    71,570x = 157,300 × 157,300
  4. Step 4: Simplify right side
    71,570x = 24,743,290,000
  5. Step 5: Solve for x
    x = 24,743,290,000/71,570
  6. Step 6: Final answer
    x = 345,721.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.