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Finding the Third Proportional to 89,515.50 and 125,484.75

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Solution

The third proportional to 89,515.50 and 125,484.75 is: 175,907.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,515.50 : 125,484.75 = 125,484.75 : x
  2. Step 2: Convert to fraction form
    89,515.50/125,484.75 = 125,484.75/x
  3. Step 3: Cross multiply
    89,515.50x = 125,484.75 × 125,484.75
  4. Step 4: Simplify right side
    89,515.50x = 15,746,422,482.56
  5. Step 5: Solve for x
    x = 15,746,422,482.56/89,515.50
  6. Step 6: Final answer
    x = 175,907.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.