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Finding the Third Proportional to 57,664 and 84,412

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Solution

The third proportional to 57,664 and 84,412 is: 123,567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,664 : 84,412 = 84,412 : x
  2. Step 2: Convert to fraction form
    57,664/84,412 = 84,412/x
  3. Step 3: Cross multiply
    57,664x = 84,412 × 84,412
  4. Step 4: Simplify right side
    57,664x = 7,125,385,744
  5. Step 5: Solve for x
    x = 7,125,385,744/57,664
  6. Step 6: Final answer
    x = 123,567.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.