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Finding the Third Proportional to 132,924 and 179,082

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Solution

The third proportional to 132,924 and 179,082 is: 241,268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,924 : 179,082 = 179,082 : x
  2. Step 2: Convert to fraction form
    132,924/179,082 = 179,082/x
  3. Step 3: Cross multiply
    132,924x = 179,082 × 179,082
  4. Step 4: Simplify right side
    132,924x = 32,070,362,724
  5. Step 5: Solve for x
    x = 32,070,362,724/132,924
  6. Step 6: Final answer
    x = 241,268.41

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.