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Finding the Third Proportional to 62,164.13 and 132,809.63

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Solution

The third proportional to 62,164.13 and 132,809.63 is: 283,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,164.13 : 132,809.63 = 132,809.63 : x
  2. Step 2: Convert to fraction form
    62,164.13/132,809.63 = 132,809.63/x
  3. Step 3: Cross multiply
    62,164.13x = 132,809.63 × 132,809.63
  4. Step 4: Simplify right side
    62,164.13x = 17,638,396,492.64
  5. Step 5: Solve for x
    x = 17,638,396,492.64/62,164.13
  6. Step 6: Final answer
    x = 283,739.16

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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.