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Finding the Third Proportional to 131,292.75 and 144,826.50

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Solution

The third proportional to 131,292.75 and 144,826.50 is: 159,755.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,292.75 : 144,826.50 = 144,826.50 : x
  2. Step 2: Convert to fraction form
    131,292.75/144,826.50 = 144,826.50/x
  3. Step 3: Cross multiply
    131,292.75x = 144,826.50 × 144,826.50
  4. Step 4: Simplify right side
    131,292.75x = 20,974,715,102.25
  5. Step 5: Solve for x
    x = 20,974,715,102.25/131,292.75
  6. Step 6: Final answer
    x = 159,755.32

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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.