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Finding the Third Proportional to 51,154.50 and 111,597

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Solution

The third proportional to 51,154.50 and 111,597 is: 243,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,154.50 : 111,597 = 111,597 : x
  2. Step 2: Convert to fraction form
    51,154.50/111,597 = 111,597/x
  3. Step 3: Cross multiply
    51,154.50x = 111,597 × 111,597
  4. Step 4: Simplify right side
    51,154.50x = 12,453,890,409
  5. Step 5: Solve for x
    x = 12,453,890,409/51,154.50
  6. Step 6: Final answer
    x = 243,456.40

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.