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Finding the Third Proportional to 76,473 and 164,664

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Solution

The third proportional to 76,473 and 164,664 is: 354,559.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,473 : 164,664 = 164,664 : x
  2. Step 2: Convert to fraction form
    76,473/164,664 = 164,664/x
  3. Step 3: Cross multiply
    76,473x = 164,664 × 164,664
  4. Step 4: Simplify right side
    76,473x = 27,114,232,896
  5. Step 5: Solve for x
    x = 27,114,232,896/76,473
  6. Step 6: Final answer
    x = 354,559.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.