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Finding the Third Proportional to 103,965 and 167,419.50

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Solution

The third proportional to 103,965 and 167,419.50 is: 269,603.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,965 : 167,419.50 = 167,419.50 : x
  2. Step 2: Convert to fraction form
    103,965/167,419.50 = 167,419.50/x
  3. Step 3: Cross multiply
    103,965x = 167,419.50 × 167,419.50
  4. Step 4: Simplify right side
    103,965x = 28,029,288,980.25
  5. Step 5: Solve for x
    x = 28,029,288,980.25/103,965
  6. Step 6: Final answer
    x = 269,603.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.