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Finding the Third Proportional to 132,182 and 212,784

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Solution

The third proportional to 132,182 and 212,784 is: 342,535.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,182 : 212,784 = 212,784 : x
  2. Step 2: Convert to fraction form
    132,182/212,784 = 212,784/x
  3. Step 3: Cross multiply
    132,182x = 212,784 × 212,784
  4. Step 4: Simplify right side
    132,182x = 45,277,030,656
  5. Step 5: Solve for x
    x = 45,277,030,656/132,182
  6. Step 6: Final answer
    x = 342,535.52

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.