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Finding the Third Proportional to 44,114.63 and 104,123.81

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Solution

The third proportional to 44,114.63 and 104,123.81 is: 245,763.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,114.63 : 104,123.81 = 104,123.81 : x
  2. Step 2: Convert to fraction form
    44,114.63/104,123.81 = 104,123.81/x
  3. Step 3: Cross multiply
    44,114.63x = 104,123.81 × 104,123.81
  4. Step 4: Simplify right side
    44,114.63x = 10,841,768,329.54
  5. Step 5: Solve for x
    x = 10,841,768,329.54/44,114.63
  6. Step 6: Final answer
    x = 245,763.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.