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Finding the Third Proportional to 35,092 and 77,960

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Solution

The third proportional to 35,092 and 77,960 is: 173,195.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,092 : 77,960 = 77,960 : x
  2. Step 2: Convert to fraction form
    35,092/77,960 = 77,960/x
  3. Step 3: Cross multiply
    35,092x = 77,960 × 77,960
  4. Step 4: Simplify right side
    35,092x = 6,077,761,600
  5. Step 5: Solve for x
    x = 6,077,761,600/35,092
  6. Step 6: Final answer
    x = 173,195.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.