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Finding the Third Proportional to 76,648 and 162,572

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Solution

The third proportional to 76,648 and 162,572 is: 344,818.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,648 : 162,572 = 162,572 : x
  2. Step 2: Convert to fraction form
    76,648/162,572 = 162,572/x
  3. Step 3: Cross multiply
    76,648x = 162,572 × 162,572
  4. Step 4: Simplify right side
    76,648x = 26,429,655,184
  5. Step 5: Solve for x
    x = 26,429,655,184/76,648
  6. Step 6: Final answer
    x = 344,818.59

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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.