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Finding the Third Proportional to 61,922 and 134,608

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Solution

The third proportional to 61,922 and 134,608 is: 292,615.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,922 : 134,608 = 134,608 : x
  2. Step 2: Convert to fraction form
    61,922/134,608 = 134,608/x
  3. Step 3: Cross multiply
    61,922x = 134,608 × 134,608
  4. Step 4: Simplify right side
    61,922x = 18,119,313,664
  5. Step 5: Solve for x
    x = 18,119,313,664/61,922
  6. Step 6: Final answer
    x = 292,615.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.