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Finding the Third Proportional to 89,065 and 130,225

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Solution

The third proportional to 89,065 and 130,225 is: 190,406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,065 : 130,225 = 130,225 : x
  2. Step 2: Convert to fraction form
    89,065/130,225 = 130,225/x
  3. Step 3: Cross multiply
    89,065x = 130,225 × 130,225
  4. Step 4: Simplify right side
    89,065x = 16,958,550,625
  5. Step 5: Solve for x
    x = 16,958,550,625/89,065
  6. Step 6: Final answer
    x = 190,406.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.