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Finding the Third Proportional to 103,407.75 and 165,909.75

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Solution

The third proportional to 103,407.75 and 165,909.75 is: 266,189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,407.75 : 165,909.75 = 165,909.75 : x
  2. Step 2: Convert to fraction form
    103,407.75/165,909.75 = 165,909.75/x
  3. Step 3: Cross multiply
    103,407.75x = 165,909.75 × 165,909.75
  4. Step 4: Simplify right side
    103,407.75x = 27,526,045,145.06
  5. Step 5: Solve for x
    x = 27,526,045,145.06/103,407.75
  6. Step 6: Final answer
    x = 266,189.38

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.