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Finding the Third Proportional to 125,290 and 171,807

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Solution

The third proportional to 125,290 and 171,807 is: 235,594.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,290 : 171,807 = 171,807 : x
  2. Step 2: Convert to fraction form
    125,290/171,807 = 171,807/x
  3. Step 3: Cross multiply
    125,290x = 171,807 × 171,807
  4. Step 4: Simplify right side
    125,290x = 29,517,645,249
  5. Step 5: Solve for x
    x = 29,517,645,249/125,290
  6. Step 6: Final answer
    x = 235,594.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.