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Finding the Third Proportional to 76,504.50 and 118,584

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Solution

The third proportional to 76,504.50 and 118,584 is: 183,808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,504.50 : 118,584 = 118,584 : x
  2. Step 2: Convert to fraction form
    76,504.50/118,584 = 118,584/x
  3. Step 3: Cross multiply
    76,504.50x = 118,584 × 118,584
  4. Step 4: Simplify right side
    76,504.50x = 14,062,165,056
  5. Step 5: Solve for x
    x = 14,062,165,056/76,504.50
  6. Step 6: Final answer
    x = 183,808.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.