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Finding the Third Proportional to 125,783 and 170,914

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Solution

The third proportional to 125,783 and 170,914 is: 232,238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,783 : 170,914 = 170,914 : x
  2. Step 2: Convert to fraction form
    125,783/170,914 = 170,914/x
  3. Step 3: Cross multiply
    125,783x = 170,914 × 170,914
  4. Step 4: Simplify right side
    125,783x = 29,211,595,396
  5. Step 5: Solve for x
    x = 29,211,595,396/125,783
  6. Step 6: Final answer
    x = 232,238.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.