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Finding the Third Proportional to 76,623 and 162,459

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Solution

The third proportional to 76,623 and 162,459 is: 344,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,623 : 162,459 = 162,459 : x
  2. Step 2: Convert to fraction form
    76,623/162,459 = 162,459/x
  3. Step 3: Cross multiply
    76,623x = 162,459 × 162,459
  4. Step 4: Simplify right side
    76,623x = 26,392,926,681
  5. Step 5: Solve for x
    x = 26,392,926,681/76,623
  6. Step 6: Final answer
    x = 344,451.75

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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.