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Finding the Third Proportional to 76,806 and 163,548

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Solution

The third proportional to 76,806 and 163,548 is: 348,253.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,806 : 163,548 = 163,548 : x
  2. Step 2: Convert to fraction form
    76,806/163,548 = 163,548/x
  3. Step 3: Cross multiply
    76,806x = 163,548 × 163,548
  4. Step 4: Simplify right side
    76,806x = 26,747,948,304
  5. Step 5: Solve for x
    x = 26,747,948,304/76,806
  6. Step 6: Final answer
    x = 348,253.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.