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Finding the Third Proportional to 117,475 and 189,153

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Solution

The third proportional to 117,475 and 189,153 is: 304,565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,475 : 189,153 = 189,153 : x
  2. Step 2: Convert to fraction form
    117,475/189,153 = 189,153/x
  3. Step 3: Cross multiply
    117,475x = 189,153 × 189,153
  4. Step 4: Simplify right side
    117,475x = 35,778,857,409
  5. Step 5: Solve for x
    x = 35,778,857,409/117,475
  6. Step 6: Final answer
    x = 304,565.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.