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Finding the Third Proportional to 109,719 and 147,082.50

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Solution

The third proportional to 109,719 and 147,082.50 is: 197,169.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,719 : 147,082.50 = 147,082.50 : x
  2. Step 2: Convert to fraction form
    109,719/147,082.50 = 147,082.50/x
  3. Step 3: Cross multiply
    109,719x = 147,082.50 × 147,082.50
  4. Step 4: Simplify right side
    109,719x = 21,633,261,806.25
  5. Step 5: Solve for x
    x = 21,633,261,806.25/109,719
  6. Step 6: Final answer
    x = 197,169.70

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.