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Finding the Third Proportional to 125,564 and 275,914

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Solution

The third proportional to 125,564 and 275,914 is: 606,292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,564 : 275,914 = 275,914 : x
  2. Step 2: Convert to fraction form
    125,564/275,914 = 275,914/x
  3. Step 3: Cross multiply
    125,564x = 275,914 × 275,914
  4. Step 4: Simplify right side
    125,564x = 76,128,535,396
  5. Step 5: Solve for x
    x = 76,128,535,396/125,564
  6. Step 6: Final answer
    x = 606,292.69

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Why These Related Problems?

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