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Finding the Third Proportional to 76,354 and 162,854

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Solution

The third proportional to 76,354 and 162,854 is: 347,348.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,354 : 162,854 = 162,854 : x
  2. Step 2: Convert to fraction form
    76,354/162,854 = 162,854/x
  3. Step 3: Cross multiply
    76,354x = 162,854 × 162,854
  4. Step 4: Simplify right side
    76,354x = 26,521,425,316
  5. Step 5: Solve for x
    x = 26,521,425,316/76,354
  6. Step 6: Final answer
    x = 347,348.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.