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Finding the Third Proportional to 61,407 and 90,096

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Solution

The third proportional to 61,407 and 90,096 is: 132,188.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,407 : 90,096 = 90,096 : x
  2. Step 2: Convert to fraction form
    61,407/90,096 = 90,096/x
  3. Step 3: Cross multiply
    61,407x = 90,096 × 90,096
  4. Step 4: Simplify right side
    61,407x = 8,117,289,216
  5. Step 5: Solve for x
    x = 8,117,289,216/61,407
  6. Step 6: Final answer
    x = 132,188.34

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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.