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Finding the Third Proportional to 81,956.81 and 124,636.22

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Solution

The third proportional to 81,956.81 and 124,636.22 is: 189,541.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,956.81 : 124,636.22 = 124,636.22 : x
  2. Step 2: Convert to fraction form
    81,956.81/124,636.22 = 124,636.22/x
  3. Step 3: Cross multiply
    81,956.81x = 124,636.22 × 124,636.22
  4. Step 4: Simplify right side
    81,956.81x = 15,534,187,024.30
  5. Step 5: Solve for x
    x = 15,534,187,024.30/81,956.81
  6. Step 6: Final answer
    x = 189,541.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.