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Finding the Third Proportional to 54,301.50 and 92,749.50

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Solution

The third proportional to 54,301.50 and 92,749.50 is: 158,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,301.50 : 92,749.50 = 92,749.50 : x
  2. Step 2: Convert to fraction form
    54,301.50/92,749.50 = 92,749.50/x
  3. Step 3: Cross multiply
    54,301.50x = 92,749.50 × 92,749.50
  4. Step 4: Simplify right side
    54,301.50x = 8,602,469,750.25
  5. Step 5: Solve for x
    x = 8,602,469,750.25/54,301.50
  6. Step 6: Final answer
    x = 158,420.48

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.