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Finding the Third Proportional to 125,624 and 273,444

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Solution

The third proportional to 125,624 and 273,444 is: 595,201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,624 : 273,444 = 273,444 : x
  2. Step 2: Convert to fraction form
    125,624/273,444 = 273,444/x
  3. Step 3: Cross multiply
    125,624x = 273,444 × 273,444
  4. Step 4: Simplify right side
    125,624x = 74,771,621,136
  5. Step 5: Solve for x
    x = 74,771,621,136/125,624
  6. Step 6: Final answer
    x = 595,201.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.