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Finding the Third Proportional to 57,724 and 90,232

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Solution

The third proportional to 57,724 and 90,232 is: 141,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,724 : 90,232 = 90,232 : x
  2. Step 2: Convert to fraction form
    57,724/90,232 = 90,232/x
  3. Step 3: Cross multiply
    57,724x = 90,232 × 90,232
  4. Step 4: Simplify right side
    57,724x = 8,141,813,824
  5. Step 5: Solve for x
    x = 8,141,813,824/57,724
  6. Step 6: Final answer
    x = 141,047.29

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Why These Related Problems?

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