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Finding the Third Proportional to 132,522 and 196,983

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Solution

The third proportional to 132,522 and 196,983 is: 292,798.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,522 : 196,983 = 196,983 : x
  2. Step 2: Convert to fraction form
    132,522/196,983 = 196,983/x
  3. Step 3: Cross multiply
    132,522x = 196,983 × 196,983
  4. Step 4: Simplify right side
    132,522x = 38,802,302,289
  5. Step 5: Solve for x
    x = 38,802,302,289/132,522
  6. Step 6: Final answer
    x = 292,798.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.