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Finding the Third Proportional to 42,796 and 95,430

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Solution

The third proportional to 42,796 and 95,430 is: 212,797.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,796 : 95,430 = 95,430 : x
  2. Step 2: Convert to fraction form
    42,796/95,430 = 95,430/x
  3. Step 3: Cross multiply
    42,796x = 95,430 × 95,430
  4. Step 4: Simplify right side
    42,796x = 9,106,884,900
  5. Step 5: Solve for x
    x = 9,106,884,900/42,796
  6. Step 6: Final answer
    x = 212,797.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.