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Finding the Third Proportional to 125,329 and 189,057

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Solution

The third proportional to 125,329 and 189,057 is: 285,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,329 : 189,057 = 189,057 : x
  2. Step 2: Convert to fraction form
    125,329/189,057 = 189,057/x
  3. Step 3: Cross multiply
    125,329x = 189,057 × 189,057
  4. Step 4: Simplify right side
    125,329x = 35,742,549,249
  5. Step 5: Solve for x
    x = 35,742,549,249/125,329
  6. Step 6: Final answer
    x = 285,189.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.