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Finding the Third Proportional to 124,728 and 275,706

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Solution

The third proportional to 124,728 and 275,706 is: 609,436.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,728 : 275,706 = 275,706 : x
  2. Step 2: Convert to fraction form
    124,728/275,706 = 275,706/x
  3. Step 3: Cross multiply
    124,728x = 275,706 × 275,706
  4. Step 4: Simplify right side
    124,728x = 76,013,798,436
  5. Step 5: Solve for x
    x = 76,013,798,436/124,728
  6. Step 6: Final answer
    x = 609,436.52

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.