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Finding the Third Proportional to 75,495 and 162,581

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Solution

The third proportional to 75,495 and 162,581 is: 350,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,495 : 162,581 = 162,581 : x
  2. Step 2: Convert to fraction form
    75,495/162,581 = 162,581/x
  3. Step 3: Cross multiply
    75,495x = 162,581 × 162,581
  4. Step 4: Simplify right side
    75,495x = 26,432,581,561
  5. Step 5: Solve for x
    x = 26,432,581,561/75,495
  6. Step 6: Final answer
    x = 350,123.61

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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.