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Finding the Third Proportional to 89,113.50 and 125,381.25

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Solution

The third proportional to 89,113.50 and 125,381.25 is: 176,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,113.50 : 125,381.25 = 125,381.25 : x
  2. Step 2: Convert to fraction form
    89,113.50/125,381.25 = 125,381.25/x
  3. Step 3: Cross multiply
    89,113.50x = 125,381.25 × 125,381.25
  4. Step 4: Simplify right side
    89,113.50x = 15,720,457,851.56
  5. Step 5: Solve for x
    x = 15,720,457,851.56/89,113.50
  6. Step 6: Final answer
    x = 176,409.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.