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Finding the Third Proportional to 91,456 and 134,724

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Solution

The third proportional to 91,456 and 134,724 is: 198,462.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,456 : 134,724 = 134,724 : x
  2. Step 2: Convert to fraction form
    91,456/134,724 = 134,724/x
  3. Step 3: Cross multiply
    91,456x = 134,724 × 134,724
  4. Step 4: Simplify right side
    91,456x = 18,150,556,176
  5. Step 5: Solve for x
    x = 18,150,556,176/91,456
  6. Step 6: Final answer
    x = 198,462.17

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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.