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Finding the Third Proportional to 51,734.50 and 113,630

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Solution

The third proportional to 51,734.50 and 113,630 is: 249,577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,734.50 : 113,630 = 113,630 : x
  2. Step 2: Convert to fraction form
    51,734.50/113,630 = 113,630/x
  3. Step 3: Cross multiply
    51,734.50x = 113,630 × 113,630
  4. Step 4: Simplify right side
    51,734.50x = 12,911,776,900
  5. Step 5: Solve for x
    x = 12,911,776,900/51,734.50
  6. Step 6: Final answer
    x = 249,577.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.