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Finding the Third Proportional to 76,788 and 118,462

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Solution

The third proportional to 76,788 and 118,462 is: 182,753.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,788 : 118,462 = 118,462 : x
  2. Step 2: Convert to fraction form
    76,788/118,462 = 118,462/x
  3. Step 3: Cross multiply
    76,788x = 118,462 × 118,462
  4. Step 4: Simplify right side
    76,788x = 14,033,245,444
  5. Step 5: Solve for x
    x = 14,033,245,444/76,788
  6. Step 6: Final answer
    x = 182,753.11

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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.