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Finding the Third Proportional to 52,585 and 114,807

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Solution

The third proportional to 52,585 and 114,807 is: 250,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,585 : 114,807 = 114,807 : x
  2. Step 2: Convert to fraction form
    52,585/114,807 = 114,807/x
  3. Step 3: Cross multiply
    52,585x = 114,807 × 114,807
  4. Step 4: Simplify right side
    52,585x = 13,180,647,249
  5. Step 5: Solve for x
    x = 13,180,647,249/52,585
  6. Step 6: Final answer
    x = 250,654.13

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Why These Related Problems?

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