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Finding the Third Proportional to 73,016.50 and 112,749

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Solution

The third proportional to 73,016.50 and 112,749 is: 174,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,016.50 : 112,749 = 112,749 : x
  2. Step 2: Convert to fraction form
    73,016.50/112,749 = 112,749/x
  3. Step 3: Cross multiply
    73,016.50x = 112,749 × 112,749
  4. Step 4: Simplify right side
    73,016.50x = 12,712,337,001
  5. Step 5: Solve for x
    x = 12,712,337,001/73,016.50
  6. Step 6: Final answer
    x = 174,102.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.