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Finding the Third Proportional to 125,937 and 274,986

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Solution

The third proportional to 125,937 and 274,986 is: 600,437.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,937 : 274,986 = 274,986 : x
  2. Step 2: Convert to fraction form
    125,937/274,986 = 274,986/x
  3. Step 3: Cross multiply
    125,937x = 274,986 × 274,986
  4. Step 4: Simplify right side
    125,937x = 75,617,300,196
  5. Step 5: Solve for x
    x = 75,617,300,196/125,937
  6. Step 6: Final answer
    x = 600,437.52

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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.