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Finding the Third Proportional to 71,096 and 153,574

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Solution

The third proportional to 71,096 and 153,574 is: 331,734.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,096 : 153,574 = 153,574 : x
  2. Step 2: Convert to fraction form
    71,096/153,574 = 153,574/x
  3. Step 3: Cross multiply
    71,096x = 153,574 × 153,574
  4. Step 4: Simplify right side
    71,096x = 23,584,973,476
  5. Step 5: Solve for x
    x = 23,584,973,476/71,096
  6. Step 6: Final answer
    x = 331,734.18

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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.