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Finding the Third Proportional to 76,605 and 114,447

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Solution

The third proportional to 76,605 and 114,447 is: 170,982.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,605 : 114,447 = 114,447 : x
  2. Step 2: Convert to fraction form
    76,605/114,447 = 114,447/x
  3. Step 3: Cross multiply
    76,605x = 114,447 × 114,447
  4. Step 4: Simplify right side
    76,605x = 13,098,115,809
  5. Step 5: Solve for x
    x = 13,098,115,809/76,605
  6. Step 6: Final answer
    x = 170,982.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.