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Finding the Third Proportional to 76,207.50 and 118,672.50

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Solution

The third proportional to 76,207.50 and 118,672.50 is: 184,800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,207.50 : 118,672.50 = 118,672.50 : x
  2. Step 2: Convert to fraction form
    76,207.50/118,672.50 = 118,672.50/x
  3. Step 3: Cross multiply
    76,207.50x = 118,672.50 × 118,672.50
  4. Step 4: Simplify right side
    76,207.50x = 14,083,162,256.25
  5. Step 5: Solve for x
    x = 14,083,162,256.25/76,207.50
  6. Step 6: Final answer
    x = 184,800.21

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.