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Finding the Third Proportional to 42,346 and 95,481

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Solution

The third proportional to 42,346 and 95,481 is: 215,288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,346 : 95,481 = 95,481 : x
  2. Step 2: Convert to fraction form
    42,346/95,481 = 95,481/x
  3. Step 3: Cross multiply
    42,346x = 95,481 × 95,481
  4. Step 4: Simplify right side
    42,346x = 9,116,621,361
  5. Step 5: Solve for x
    x = 9,116,621,361/42,346
  6. Step 6: Final answer
    x = 215,288.84

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.