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Finding the Third Proportional to 57,485 and 125,617

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Solution

The third proportional to 57,485 and 125,617 is: 274,499.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,485 : 125,617 = 125,617 : x
  2. Step 2: Convert to fraction form
    57,485/125,617 = 125,617/x
  3. Step 3: Cross multiply
    57,485x = 125,617 × 125,617
  4. Step 4: Simplify right side
    57,485x = 15,779,630,689
  5. Step 5: Solve for x
    x = 15,779,630,689/57,485
  6. Step 6: Final answer
    x = 274,499.97

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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.