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Finding the Third Proportional to 76,623 and 118,342.50

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Solution

The third proportional to 76,623 and 118,342.50 is: 182,777.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,623 : 118,342.50 = 118,342.50 : x
  2. Step 2: Convert to fraction form
    76,623/118,342.50 = 118,342.50/x
  3. Step 3: Cross multiply
    76,623x = 118,342.50 × 118,342.50
  4. Step 4: Simplify right side
    76,623x = 14,004,947,306.25
  5. Step 5: Solve for x
    x = 14,004,947,306.25/76,623
  6. Step 6: Final answer
    x = 182,777.33

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.