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Finding the Third Proportional to 113,177.25 and 165,756.38

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Solution

The third proportional to 113,177.25 and 165,756.38 is: 242,762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,177.25 : 165,756.38 = 165,756.38 : x
  2. Step 2: Convert to fraction form
    113,177.25/165,756.38 = 165,756.38/x
  3. Step 3: Cross multiply
    113,177.25x = 165,756.38 × 165,756.38
  4. Step 4: Simplify right side
    113,177.25x = 27,475,175,853.14
  5. Step 5: Solve for x
    x = 27,475,175,853.14/113,177.25
  6. Step 6: Final answer
    x = 242,762.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.