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Finding the Third Proportional to 52,701 and 114,150

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Solution

The third proportional to 52,701 and 114,150 is: 247,248.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,701 : 114,150 = 114,150 : x
  2. Step 2: Convert to fraction form
    52,701/114,150 = 114,150/x
  3. Step 3: Cross multiply
    52,701x = 114,150 × 114,150
  4. Step 4: Simplify right side
    52,701x = 13,030,222,500
  5. Step 5: Solve for x
    x = 13,030,222,500/52,701
  6. Step 6: Final answer
    x = 247,248.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.