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Finding the Third Proportional to 71,300 and 144,328

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Solution

The third proportional to 71,300 and 144,328 is: 292,153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,300 : 144,328 = 144,328 : x
  2. Step 2: Convert to fraction form
    71,300/144,328 = 144,328/x
  3. Step 3: Cross multiply
    71,300x = 144,328 × 144,328
  4. Step 4: Simplify right side
    71,300x = 20,830,571,584
  5. Step 5: Solve for x
    x = 20,830,571,584/71,300
  6. Step 6: Final answer
    x = 292,153.88

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.