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Finding the Third Proportional to 96,592.50 and 142,091.72

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Solution

The third proportional to 96,592.50 and 142,091.72 is: 209,023.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,592.50 : 142,091.72 = 142,091.72 : x
  2. Step 2: Convert to fraction form
    96,592.50/142,091.72 = 142,091.72/x
  3. Step 3: Cross multiply
    96,592.50x = 142,091.72 × 142,091.72
  4. Step 4: Simplify right side
    96,592.50x = 20,190,056,537.33
  5. Step 5: Solve for x
    x = 20,190,056,537.33/96,592.50
  6. Step 6: Final answer
    x = 209,023.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.