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Finding the Third Proportional to 89,725.50 and 130,412.25

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Solution

The third proportional to 89,725.50 and 130,412.25 is: 189,548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,725.50 : 130,412.25 = 130,412.25 : x
  2. Step 2: Convert to fraction form
    89,725.50/130,412.25 = 130,412.25/x
  3. Step 3: Cross multiply
    89,725.50x = 130,412.25 × 130,412.25
  4. Step 4: Simplify right side
    89,725.50x = 17,007,354,950.06
  5. Step 5: Solve for x
    x = 17,007,354,950.06/89,725.50
  6. Step 6: Final answer
    x = 189,548.73

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.