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Finding the Third Proportional to 114,086 and 242,950

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Solution

The third proportional to 114,086 and 242,950 is: 517,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,086 : 242,950 = 242,950 : x
  2. Step 2: Convert to fraction form
    114,086/242,950 = 242,950/x
  3. Step 3: Cross multiply
    114,086x = 242,950 × 242,950
  4. Step 4: Simplify right side
    114,086x = 59,024,702,500
  5. Step 5: Solve for x
    x = 59,024,702,500/114,086
  6. Step 6: Final answer
    x = 517,370.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.