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Finding the Third Proportional to 66,783 and 102,694.50

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Solution

The third proportional to 66,783 and 102,694.50 is: 157,916.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,783 : 102,694.50 = 102,694.50 : x
  2. Step 2: Convert to fraction form
    66,783/102,694.50 = 102,694.50/x
  3. Step 3: Cross multiply
    66,783x = 102,694.50 × 102,694.50
  4. Step 4: Simplify right side
    66,783x = 10,546,160,330.25
  5. Step 5: Solve for x
    x = 10,546,160,330.25/66,783
  6. Step 6: Final answer
    x = 157,916.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.