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Finding the Third Proportional to 95,751 and 128,803.50

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Solution

The third proportional to 95,751 and 128,803.50 is: 173,265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,751 : 128,803.50 = 128,803.50 : x
  2. Step 2: Convert to fraction form
    95,751/128,803.50 = 128,803.50/x
  3. Step 3: Cross multiply
    95,751x = 128,803.50 × 128,803.50
  4. Step 4: Simplify right side
    95,751x = 16,590,341,612.25
  5. Step 5: Solve for x
    x = 16,590,341,612.25/95,751
  6. Step 6: Final answer
    x = 173,265.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.