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Finding the Third Proportional to 102,751 and 153,433.50

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Solution

The third proportional to 102,751 and 153,433.50 is: 229,115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,751 : 153,433.50 = 153,433.50 : x
  2. Step 2: Convert to fraction form
    102,751/153,433.50 = 153,433.50/x
  3. Step 3: Cross multiply
    102,751x = 153,433.50 × 153,433.50
  4. Step 4: Simplify right side
    102,751x = 23,541,838,922.25
  5. Step 5: Solve for x
    x = 23,541,838,922.25/102,751
  6. Step 6: Final answer
    x = 229,115.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.