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Finding the Third Proportional to 76,784 and 118,456

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Solution

The third proportional to 76,784 and 118,456 is: 182,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,784 : 118,456 = 118,456 : x
  2. Step 2: Convert to fraction form
    76,784/118,456 = 118,456/x
  3. Step 3: Cross multiply
    76,784x = 118,456 × 118,456
  4. Step 4: Simplify right side
    76,784x = 14,031,823,936
  5. Step 5: Solve for x
    x = 14,031,823,936/76,784
  6. Step 6: Final answer
    x = 182,744.11

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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.