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Finding the Third Proportional to 69,454.13 and 103,771.13

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Solution

The third proportional to 69,454.13 and 103,771.13 is: 155,044.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,454.13 : 103,771.13 = 103,771.13 : x
  2. Step 2: Convert to fraction form
    69,454.13/103,771.13 = 103,771.13/x
  3. Step 3: Cross multiply
    69,454.13x = 103,771.13 × 103,771.13
  4. Step 4: Simplify right side
    69,454.13x = 10,768,446,383.77
  5. Step 5: Solve for x
    x = 10,768,446,383.77/69,454.13
  6. Step 6: Final answer
    x = 155,044.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.