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Finding the Third Proportional to 61,824 and 132,393.75

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Solution

The third proportional to 61,824 and 132,393.75 is: 283,516.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,824 : 132,393.75 = 132,393.75 : x
  2. Step 2: Convert to fraction form
    61,824/132,393.75 = 132,393.75/x
  3. Step 3: Cross multiply
    61,824x = 132,393.75 × 132,393.75
  4. Step 4: Simplify right side
    61,824x = 17,528,105,039.06
  5. Step 5: Solve for x
    x = 17,528,105,039.06/61,824
  6. Step 6: Final answer
    x = 283,516.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.