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Finding the Third Proportional to 69,050.25 and 151,275.75

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Solution

The third proportional to 69,050.25 and 151,275.75 is: 331,415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,050.25 : 151,275.75 = 151,275.75 : x
  2. Step 2: Convert to fraction form
    69,050.25/151,275.75 = 151,275.75/x
  3. Step 3: Cross multiply
    69,050.25x = 151,275.75 × 151,275.75
  4. Step 4: Simplify right side
    69,050.25x = 22,884,352,538.06
  5. Step 5: Solve for x
    x = 22,884,352,538.06/69,050.25
  6. Step 6: Final answer
    x = 331,415.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.