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Finding the Third Proportional to 103,455.35 and 160,249.01

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Solution

The third proportional to 103,455.35 and 160,249.01 is: 248,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,455.35 : 160,249.01 = 160,249.01 : x
  2. Step 2: Convert to fraction form
    103,455.35/160,249.01 = 160,249.01/x
  3. Step 3: Cross multiply
    103,455.35x = 160,249.01 × 160,249.01
  4. Step 4: Simplify right side
    103,455.35x = 25,679,744,504.89
  5. Step 5: Solve for x
    x = 25,679,744,504.89/103,455.35
  6. Step 6: Final answer
    x = 248,220.55

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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.