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Finding the Third Proportional to 51,818.50 and 113,354

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Solution

The third proportional to 51,818.50 and 113,354 is: 247,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,818.50 : 113,354 = 113,354 : x
  2. Step 2: Convert to fraction form
    51,818.50/113,354 = 113,354/x
  3. Step 3: Cross multiply
    51,818.50x = 113,354 × 113,354
  4. Step 4: Simplify right side
    51,818.50x = 12,849,129,316
  5. Step 5: Solve for x
    x = 12,849,129,316/51,818.50
  6. Step 6: Final answer
    x = 247,964.13

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.