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Finding the Third Proportional to 132,412.50 and 189,155.25

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Solution

The third proportional to 132,412.50 and 189,155.25 is: 270,213.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,412.50 : 189,155.25 = 189,155.25 : x
  2. Step 2: Convert to fraction form
    132,412.50/189,155.25 = 189,155.25/x
  3. Step 3: Cross multiply
    132,412.50x = 189,155.25 × 189,155.25
  4. Step 4: Simplify right side
    132,412.50x = 35,779,708,602.56
  5. Step 5: Solve for x
    x = 35,779,708,602.56/132,412.50
  6. Step 6: Final answer
    x = 270,213.98

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.