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Finding the Third Proportional to 76,037 and 162,730

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Solution

The third proportional to 76,037 and 162,730 is: 348,265.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,037 : 162,730 = 162,730 : x
  2. Step 2: Convert to fraction form
    76,037/162,730 = 162,730/x
  3. Step 3: Cross multiply
    76,037x = 162,730 × 162,730
  4. Step 4: Simplify right side
    76,037x = 26,481,052,900
  5. Step 5: Solve for x
    x = 26,481,052,900/76,037
  6. Step 6: Final answer
    x = 348,265.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.