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Finding the Third Proportional to 81,599.16 and 124,743.28

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Solution

The third proportional to 81,599.16 and 124,743.28 is: 190,699.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,599.16 : 124,743.28 = 124,743.28 : x
  2. Step 2: Convert to fraction form
    81,599.16/124,743.28 = 124,743.28/x
  3. Step 3: Cross multiply
    81,599.16x = 124,743.28 × 124,743.28
  4. Step 4: Simplify right side
    81,599.16x = 15,560,886,217.02
  5. Step 5: Solve for x
    x = 15,560,886,217.02/81,599.16
  6. Step 6: Final answer
    x = 190,699.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.