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Finding the Third Proportional to 113,577.19 and 165,079.69

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Solution

The third proportional to 113,577.19 and 165,079.69 is: 239,936.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,577.19 : 165,079.69 = 165,079.69 : x
  2. Step 2: Convert to fraction form
    113,577.19/165,079.69 = 165,079.69/x
  3. Step 3: Cross multiply
    113,577.19x = 165,079.69 × 165,079.69
  4. Step 4: Simplify right side
    113,577.19x = 27,251,303,225.10
  5. Step 5: Solve for x
    x = 27,251,303,225.10/113,577.19
  6. Step 6: Final answer
    x = 239,936.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.