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Finding the Third Proportional to 103,699.50 and 160,409.25

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Solution

The third proportional to 103,699.50 and 160,409.25 is: 248,131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,699.50 : 160,409.25 = 160,409.25 : x
  2. Step 2: Convert to fraction form
    103,699.50/160,409.25 = 160,409.25/x
  3. Step 3: Cross multiply
    103,699.50x = 160,409.25 × 160,409.25
  4. Step 4: Simplify right side
    103,699.50x = 25,731,127,485.56
  5. Step 5: Solve for x
    x = 25,731,127,485.56/103,699.50
  6. Step 6: Final answer
    x = 248,131.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.