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Finding the Third Proportional to 125,647.50 and 270,977.25

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Solution

The third proportional to 125,647.50 and 270,977.25 is: 584,402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,647.50 : 270,977.25 = 270,977.25 : x
  2. Step 2: Convert to fraction form
    125,647.50/270,977.25 = 270,977.25/x
  3. Step 3: Cross multiply
    125,647.50x = 270,977.25 × 270,977.25
  4. Step 4: Simplify right side
    125,647.50x = 73,428,670,017.56
  5. Step 5: Solve for x
    x = 73,428,670,017.56/125,647.50
  6. Step 6: Final answer
    x = 584,402.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.