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Finding the Third Proportional to 125,637 and 273,435

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Solution

The third proportional to 125,637 and 273,435 is: 595,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,637 : 273,435 = 273,435 : x
  2. Step 2: Convert to fraction form
    125,637/273,435 = 273,435/x
  3. Step 3: Cross multiply
    125,637x = 273,435 × 273,435
  4. Step 4: Simplify right side
    125,637x = 74,766,699,225
  5. Step 5: Solve for x
    x = 74,766,699,225/125,637
  6. Step 6: Final answer
    x = 595,100.96

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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.