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Finding the Third Proportional to 52,930 and 114,500

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Solution

The third proportional to 52,930 and 114,500 is: 247,690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,930 : 114,500 = 114,500 : x
  2. Step 2: Convert to fraction form
    52,930/114,500 = 114,500/x
  3. Step 3: Cross multiply
    52,930x = 114,500 × 114,500
  4. Step 4: Simplify right side
    52,930x = 13,110,250,000
  5. Step 5: Solve for x
    x = 13,110,250,000/52,930
  6. Step 6: Final answer
    x = 247,690.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.