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Finding the Third Proportional to 76,315 and 116,741

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Solution

The third proportional to 76,315 and 116,741 is: 178,581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,315 : 116,741 = 116,741 : x
  2. Step 2: Convert to fraction form
    76,315/116,741 = 116,741/x
  3. Step 3: Cross multiply
    76,315x = 116,741 × 116,741
  4. Step 4: Simplify right side
    76,315x = 13,628,461,081
  5. Step 5: Solve for x
    x = 13,628,461,081/76,315
  6. Step 6: Final answer
    x = 178,581.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.