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Finding the Third Proportional to 76,623 and 162,461

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Solution

The third proportional to 76,623 and 162,461 is: 344,460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,623 : 162,461 = 162,461 : x
  2. Step 2: Convert to fraction form
    76,623/162,461 = 162,461/x
  3. Step 3: Cross multiply
    76,623x = 162,461 × 162,461
  4. Step 4: Simplify right side
    76,623x = 26,393,576,521
  5. Step 5: Solve for x
    x = 26,393,576,521/76,623
  6. Step 6: Final answer
    x = 344,460.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.