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Finding the Third Proportional to 132,761 and 286,724

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Solution

The third proportional to 132,761 and 286,724 is: 619,237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,761 : 286,724 = 286,724 : x
  2. Step 2: Convert to fraction form
    132,761/286,724 = 286,724/x
  3. Step 3: Cross multiply
    132,761x = 286,724 × 286,724
  4. Step 4: Simplify right side
    132,761x = 82,210,652,176
  5. Step 5: Solve for x
    x = 82,210,652,176/132,761
  6. Step 6: Final answer
    x = 619,237.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.