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Finding the Third Proportional to 46,301.25 and 69,177.75

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Solution

The third proportional to 46,301.25 and 69,177.75 is: 103,357.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,301.25 : 69,177.75 = 69,177.75 : x
  2. Step 2: Convert to fraction form
    46,301.25/69,177.75 = 69,177.75/x
  3. Step 3: Cross multiply
    46,301.25x = 69,177.75 × 69,177.75
  4. Step 4: Simplify right side
    46,301.25x = 4,785,561,095.06
  5. Step 5: Solve for x
    x = 4,785,561,095.06/46,301.25
  6. Step 6: Final answer
    x = 103,357.06

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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.