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Finding the Third Proportional to 61,634.25 and 133,822.13

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Solution

The third proportional to 61,634.25 and 133,822.13 is: 290,558.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,634.25 : 133,822.13 = 133,822.13 : x
  2. Step 2: Convert to fraction form
    61,634.25/133,822.13 = 133,822.13/x
  3. Step 3: Cross multiply
    61,634.25x = 133,822.13 × 133,822.13
  4. Step 4: Simplify right side
    61,634.25x = 17,908,361,139.52
  5. Step 5: Solve for x
    x = 17,908,361,139.52/61,634.25
  6. Step 6: Final answer
    x = 290,558.60

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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.