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Finding the Third Proportional to 116,254 and 179,565

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Solution

The third proportional to 116,254 and 179,565 is: 277,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,254 : 179,565 = 179,565 : x
  2. Step 2: Convert to fraction form
    116,254/179,565 = 179,565/x
  3. Step 3: Cross multiply
    116,254x = 179,565 × 179,565
  4. Step 4: Simplify right side
    116,254x = 32,243,589,225
  5. Step 5: Solve for x
    x = 32,243,589,225/116,254
  6. Step 6: Final answer
    x = 277,354.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.