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Finding the Third Proportional to 76,657 and 164,972

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Solution

The third proportional to 76,657 and 164,972 is: 355,032.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,657 : 164,972 = 164,972 : x
  2. Step 2: Convert to fraction form
    76,657/164,972 = 164,972/x
  3. Step 3: Cross multiply
    76,657x = 164,972 × 164,972
  4. Step 4: Simplify right side
    76,657x = 27,215,760,784
  5. Step 5: Solve for x
    x = 27,215,760,784/76,657
  6. Step 6: Final answer
    x = 355,032.95

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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.