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Finding the Third Proportional to 76,606.50 and 118,140

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Solution

The third proportional to 76,606.50 and 118,140 is: 182,191.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,606.50 : 118,140 = 118,140 : x
  2. Step 2: Convert to fraction form
    76,606.50/118,140 = 118,140/x
  3. Step 3: Cross multiply
    76,606.50x = 118,140 × 118,140
  4. Step 4: Simplify right side
    76,606.50x = 13,957,059,600
  5. Step 5: Solve for x
    x = 13,957,059,600/76,606.50
  6. Step 6: Final answer
    x = 182,191.58

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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.