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Finding the Third Proportional to 133,773.19 and 195,860.25

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Solution

The third proportional to 133,773.19 and 195,860.25 is: 286,763.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,773.19 : 195,860.25 = 195,860.25 : x
  2. Step 2: Convert to fraction form
    133,773.19/195,860.25 = 195,860.25/x
  3. Step 3: Cross multiply
    133,773.19x = 195,860.25 × 195,860.25
  4. Step 4: Simplify right side
    133,773.19x = 38,361,237,530.06
  5. Step 5: Solve for x
    x = 38,361,237,530.06/133,773.19
  6. Step 6: Final answer
    x = 286,763.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.