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Finding the Third Proportional to 57,396 and 89,497

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Solution

The third proportional to 57,396 and 89,497 is: 139,551.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,396 : 89,497 = 89,497 : x
  2. Step 2: Convert to fraction form
    57,396/89,497 = 89,497/x
  3. Step 3: Cross multiply
    57,396x = 89,497 × 89,497
  4. Step 4: Simplify right side
    57,396x = 8,009,713,009
  5. Step 5: Solve for x
    x = 8,009,713,009/57,396
  6. Step 6: Final answer
    x = 139,551.76

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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.