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Finding the Third Proportional to 119,095 and 189,578

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Solution

The third proportional to 119,095 and 189,578 is: 301,774.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,095 : 189,578 = 189,578 : x
  2. Step 2: Convert to fraction form
    119,095/189,578 = 189,578/x
  3. Step 3: Cross multiply
    119,095x = 189,578 × 189,578
  4. Step 4: Simplify right side
    119,095x = 35,939,818,084
  5. Step 5: Solve for x
    x = 35,939,818,084/119,095
  6. Step 6: Final answer
    x = 301,774.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.