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Finding the Third Proportional to 103,698.75 and 164,887.50

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Solution

The third proportional to 103,698.75 and 164,887.50 is: 262,181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,698.75 : 164,887.50 = 164,887.50 : x
  2. Step 2: Convert to fraction form
    103,698.75/164,887.50 = 164,887.50/x
  3. Step 3: Cross multiply
    103,698.75x = 164,887.50 × 164,887.50
  4. Step 4: Simplify right side
    103,698.75x = 27,187,887,656.25
  5. Step 5: Solve for x
    x = 27,187,887,656.25/103,698.75
  6. Step 6: Final answer
    x = 262,181.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.