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Finding the Third Proportional to 101,567.25 and 235,095.75

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Solution

The third proportional to 101,567.25 and 235,095.75 is: 544,171.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,567.25 : 235,095.75 = 235,095.75 : x
  2. Step 2: Convert to fraction form
    101,567.25/235,095.75 = 235,095.75/x
  3. Step 3: Cross multiply
    101,567.25x = 235,095.75 × 235,095.75
  4. Step 4: Simplify right side
    101,567.25x = 55,270,011,668.06
  5. Step 5: Solve for x
    x = 55,270,011,668.06/101,567.25
  6. Step 6: Final answer
    x = 544,171.59

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.