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Finding the Third Proportional to 76,337 and 115,341

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Solution

The third proportional to 76,337 and 115,341 is: 174,273.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,337 : 115,341 = 115,341 : x
  2. Step 2: Convert to fraction form
    76,337/115,341 = 115,341/x
  3. Step 3: Cross multiply
    76,337x = 115,341 × 115,341
  4. Step 4: Simplify right side
    76,337x = 13,303,546,281
  5. Step 5: Solve for x
    x = 13,303,546,281/76,337
  6. Step 6: Final answer
    x = 174,273.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.