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Finding the Third Proportional to 96,592.38 and 142,094.56

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Solution

The third proportional to 96,592.38 and 142,094.56 is: 209,031.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,592.38 : 142,094.56 = 142,094.56 : x
  2. Step 2: Convert to fraction form
    96,592.38/142,094.56 = 142,094.56/x
  3. Step 3: Cross multiply
    96,592.38x = 142,094.56 × 142,094.56
  4. Step 4: Simplify right side
    96,592.38x = 20,190,864,692.07
  5. Step 5: Solve for x
    x = 20,190,864,692.07/96,592.38
  6. Step 6: Final answer
    x = 209,031.66

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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.