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Finding the Third Proportional to 71,276 and 153,968

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Solution

The third proportional to 71,276 and 153,968 is: 332,596.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,276 : 153,968 = 153,968 : x
  2. Step 2: Convert to fraction form
    71,276/153,968 = 153,968/x
  3. Step 3: Cross multiply
    71,276x = 153,968 × 153,968
  4. Step 4: Simplify right side
    71,276x = 23,706,145,024
  5. Step 5: Solve for x
    x = 23,706,145,024/71,276
  6. Step 6: Final answer
    x = 332,596.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.