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Finding the Third Proportional to 47,567.25 and 107,254.13

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Solution

The third proportional to 47,567.25 and 107,254.13 is: 241,835.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,567.25 : 107,254.13 = 107,254.13 : x
  2. Step 2: Convert to fraction form
    47,567.25/107,254.13 = 107,254.13/x
  3. Step 3: Cross multiply
    47,567.25x = 107,254.13 × 107,254.13
  4. Step 4: Simplify right side
    47,567.25x = 11,503,447,329.52
  5. Step 5: Solve for x
    x = 11,503,447,329.52/47,567.25
  6. Step 6: Final answer
    x = 241,835.45

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.