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Finding the Third Proportional to 73,401.19 and 81,010.13

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Solution

The third proportional to 73,401.19 and 81,010.13 is: 89,407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,401.19 : 81,010.13 = 81,010.13 : x
  2. Step 2: Convert to fraction form
    73,401.19/81,010.13 = 81,010.13/x
  3. Step 3: Cross multiply
    73,401.19x = 81,010.13 × 81,010.13
  4. Step 4: Simplify right side
    73,401.19x = 6,562,640,352.52
  5. Step 5: Solve for x
    x = 6,562,640,352.52/73,401.19
  6. Step 6: Final answer
    x = 89,407.82

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.