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Finding the Third Proportional to 125,402 and 274,132

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Solution

The third proportional to 125,402 and 274,132 is: 599,259.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,402 : 274,132 = 274,132 : x
  2. Step 2: Convert to fraction form
    125,402/274,132 = 274,132/x
  3. Step 3: Cross multiply
    125,402x = 274,132 × 274,132
  4. Step 4: Simplify right side
    125,402x = 75,148,353,424
  5. Step 5: Solve for x
    x = 75,148,353,424/125,402
  6. Step 6: Final answer
    x = 599,259.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.