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Finding the Third Proportional to 76,576 and 118,344

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Solution

The third proportional to 76,576 and 118,344 is: 182,894.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,576 : 118,344 = 118,344 : x
  2. Step 2: Convert to fraction form
    76,576/118,344 = 118,344/x
  3. Step 3: Cross multiply
    76,576x = 118,344 × 118,344
  4. Step 4: Simplify right side
    76,576x = 14,005,302,336
  5. Step 5: Solve for x
    x = 14,005,302,336/76,576
  6. Step 6: Final answer
    x = 182,894.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.