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Finding the Third Proportional to 44,056.50 and 85,894.50

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Solution

The third proportional to 44,056.50 and 85,894.50 is: 167,463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,056.50 : 85,894.50 = 85,894.50 : x
  2. Step 2: Convert to fraction form
    44,056.50/85,894.50 = 85,894.50/x
  3. Step 3: Cross multiply
    44,056.50x = 85,894.50 × 85,894.50
  4. Step 4: Simplify right side
    44,056.50x = 7,377,865,130.25
  5. Step 5: Solve for x
    x = 7,377,865,130.25/44,056.50
  6. Step 6: Final answer
    x = 167,463.71

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.