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Finding the Third Proportional to 76,735 and 118,383

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Solution

The third proportional to 76,735 and 118,383 is: 182,635.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,735 : 118,383 = 118,383 : x
  2. Step 2: Convert to fraction form
    76,735/118,383 = 118,383/x
  3. Step 3: Cross multiply
    76,735x = 118,383 × 118,383
  4. Step 4: Simplify right side
    76,735x = 14,014,534,689
  5. Step 5: Solve for x
    x = 14,014,534,689/76,735
  6. Step 6: Final answer
    x = 182,635.49

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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.