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Finding the Third Proportional to 57,534 and 75,663

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Solution

The third proportional to 57,534 and 75,663 is: 99,504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,534 : 75,663 = 75,663 : x
  2. Step 2: Convert to fraction form
    57,534/75,663 = 75,663/x
  3. Step 3: Cross multiply
    57,534x = 75,663 × 75,663
  4. Step 4: Simplify right side
    57,534x = 5,724,889,569
  5. Step 5: Solve for x
    x = 5,724,889,569/57,534
  6. Step 6: Final answer
    x = 99,504.46

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.