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Finding the Third Proportional to 85,894.50 and 129,783

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Solution

The third proportional to 85,894.50 and 129,783 is: 196,096.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,894.50 : 129,783 = 129,783 : x
  2. Step 2: Convert to fraction form
    85,894.50/129,783 = 129,783/x
  3. Step 3: Cross multiply
    85,894.50x = 129,783 × 129,783
  4. Step 4: Simplify right side
    85,894.50x = 16,843,627,089
  5. Step 5: Solve for x
    x = 16,843,627,089/85,894.50
  6. Step 6: Final answer
    x = 196,096.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.